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Finding the Third Proportional to 157,092 and 343,506

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Solution

The third proportional to 157,092 and 343,506 is: 751,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,092 : 343,506 = 343,506 : x
  2. Step 2: Convert to fraction form
    157,092/343,506 = 343,506/x
  3. Step 3: Cross multiply
    157,092x = 343,506 × 343,506
  4. Step 4: Simplify right side
    157,092x = 117,996,372,036
  5. Step 5: Solve for x
    x = 117,996,372,036/157,092
  6. Step 6: Final answer
    x = 751,129.10

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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.