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Finding the Third Proportional to 157,893 and 346,372.50

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Solution

The third proportional to 157,893 and 346,372.50 is: 759,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,893 : 346,372.50 = 346,372.50 : x
  2. Step 2: Convert to fraction form
    157,893/346,372.50 = 346,372.50/x
  3. Step 3: Cross multiply
    157,893x = 346,372.50 × 346,372.50
  4. Step 4: Simplify right side
    157,893x = 119,973,908,756.25
  5. Step 5: Solve for x
    x = 119,973,908,756.25/157,893
  6. Step 6: Final answer
    x = 759,843.11

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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.