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Finding the Third Proportional to 157,772.25 and 346,162.50

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Solution

The third proportional to 157,772.25 and 346,162.50 is: 759,502.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,772.25 : 346,162.50 = 346,162.50 : x
  2. Step 2: Convert to fraction form
    157,772.25/346,162.50 = 346,162.50/x
  3. Step 3: Cross multiply
    157,772.25x = 346,162.50 × 346,162.50
  4. Step 4: Simplify right side
    157,772.25x = 119,828,476,406.25
  5. Step 5: Solve for x
    x = 119,828,476,406.25/157,772.25
  6. Step 6: Final answer
    x = 759,502.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.