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Finding the Third Proportional to 157,753 and 342,122.50

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Solution

The third proportional to 157,753 and 342,122.50 is: 741,968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,753 : 342,122.50 = 342,122.50 : x
  2. Step 2: Convert to fraction form
    157,753/342,122.50 = 342,122.50/x
  3. Step 3: Cross multiply
    157,753x = 342,122.50 × 342,122.50
  4. Step 4: Simplify right side
    157,753x = 117,047,805,006.25
  5. Step 5: Solve for x
    x = 117,047,805,006.25/157,753
  6. Step 6: Final answer
    x = 741,968.81

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