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Finding the Third Proportional to 155,643 and 234,092.25

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Solution

The third proportional to 155,643 and 234,092.25 is: 352,082.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,643 : 234,092.25 = 234,092.25 : x
  2. Step 2: Convert to fraction form
    155,643/234,092.25 = 234,092.25/x
  3. Step 3: Cross multiply
    155,643x = 234,092.25 × 234,092.25
  4. Step 4: Simplify right side
    155,643x = 54,799,181,510.06
  5. Step 5: Solve for x
    x = 54,799,181,510.06/155,643
  6. Step 6: Final answer
    x = 352,082.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.