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Finding the Third Proportional to 157,033 and 343,402

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Solution

The third proportional to 157,033 and 343,402 is: 750,956.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,033 : 343,402 = 343,402 : x
  2. Step 2: Convert to fraction form
    157,033/343,402 = 343,402/x
  3. Step 3: Cross multiply
    157,033x = 343,402 × 343,402
  4. Step 4: Simplify right side
    157,033x = 117,924,933,604
  5. Step 5: Solve for x
    x = 117,924,933,604/157,033
  6. Step 6: Final answer
    x = 750,956.38

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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.