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Finding the Third Proportional to 159,148.50 and 346,287

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Solution

The third proportional to 159,148.50 and 346,287 is: 753,476.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,148.50 : 346,287 = 346,287 : x
  2. Step 2: Convert to fraction form
    159,148.50/346,287 = 346,287/x
  3. Step 3: Cross multiply
    159,148.50x = 346,287 × 346,287
  4. Step 4: Simplify right side
    159,148.50x = 119,914,686,369
  5. Step 5: Solve for x
    x = 119,914,686,369/159,148.50
  6. Step 6: Final answer
    x = 753,476.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.