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Finding the Third Proportional to 157,700 and 344,536

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Solution

The third proportional to 157,700 and 344,536 is: 752,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,700 : 344,536 = 344,536 : x
  2. Step 2: Convert to fraction form
    157,700/344,536 = 344,536/x
  3. Step 3: Cross multiply
    157,700x = 344,536 × 344,536
  4. Step 4: Simplify right side
    157,700x = 118,705,055,296
  5. Step 5: Solve for x
    x = 118,705,055,296/157,700
  6. Step 6: Final answer
    x = 752,727.05

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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.