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Finding the Third Proportional to 157,743 and 344,031.75

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Solution

The third proportional to 157,743 and 344,031.75 is: 750,320.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,743 : 344,031.75 = 344,031.75 : x
  2. Step 2: Convert to fraction form
    157,743/344,031.75 = 344,031.75/x
  3. Step 3: Cross multiply
    157,743x = 344,031.75 × 344,031.75
  4. Step 4: Simplify right side
    157,743x = 118,357,845,008.06
  5. Step 5: Solve for x
    x = 118,357,845,008.06/157,743
  6. Step 6: Final answer
    x = 750,320.74

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