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Finding the Third Proportional to 153,586.13 and 232,526.25

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Solution

The third proportional to 153,586.13 and 232,526.25 is: 352,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,586.13 : 232,526.25 = 232,526.25 : x
  2. Step 2: Convert to fraction form
    153,586.13/232,526.25 = 232,526.25/x
  3. Step 3: Cross multiply
    153,586.13x = 232,526.25 × 232,526.25
  4. Step 4: Simplify right side
    153,586.13x = 54,068,456,939.06
  5. Step 5: Solve for x
    x = 54,068,456,939.06/153,586.13
  6. Step 6: Final answer
    x = 352,039.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.