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Finding the Third Proportional to 157,632 and 342,060

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Solution

The third proportional to 157,632 and 342,060 is: 742,267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,632 : 342,060 = 342,060 : x
  2. Step 2: Convert to fraction form
    157,632/342,060 = 342,060/x
  3. Step 3: Cross multiply
    157,632x = 342,060 × 342,060
  4. Step 4: Simplify right side
    157,632x = 117,005,043,600
  5. Step 5: Solve for x
    x = 117,005,043,600/157,632
  6. Step 6: Final answer
    x = 742,267.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.