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Finding the Third Proportional to 145,807.88 and 238,091.06

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Solution

The third proportional to 145,807.88 and 238,091.06 is: 388,781.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,807.88 : 238,091.06 = 238,091.06 : x
  2. Step 2: Convert to fraction form
    145,807.88/238,091.06 = 238,091.06/x
  3. Step 3: Cross multiply
    145,807.88x = 238,091.06 × 238,091.06
  4. Step 4: Simplify right side
    145,807.88x = 56,687,354,042.38
  5. Step 5: Solve for x
    x = 56,687,354,042.38/145,807.88
  6. Step 6: Final answer
    x = 388,781.15

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.