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Finding the Third Proportional to 203,968.13 and 432,248.06

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Solution

The third proportional to 203,968.13 and 432,248.06 is: 916,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,968.13 : 432,248.06 = 432,248.06 : x
  2. Step 2: Convert to fraction form
    203,968.13/432,248.06 = 432,248.06/x
  3. Step 3: Cross multiply
    203,968.13x = 432,248.06 × 432,248.06
  4. Step 4: Simplify right side
    203,968.13x = 186,838,387,535.00
  5. Step 5: Solve for x
    x = 186,838,387,535.00/203,968.13
  6. Step 6: Final answer
    x = 916,017.58

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.