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Finding the Third Proportional to 153,036.50 and 331,005.50

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Solution

The third proportional to 153,036.50 and 331,005.50 is: 715,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,036.50 : 331,005.50 = 331,005.50 : x
  2. Step 2: Convert to fraction form
    153,036.50/331,005.50 = 331,005.50/x
  3. Step 3: Cross multiply
    153,036.50x = 331,005.50 × 331,005.50
  4. Step 4: Simplify right side
    153,036.50x = 109,564,641,030.25
  5. Step 5: Solve for x
    x = 109,564,641,030.25/153,036.50
  6. Step 6: Final answer
    x = 715,937.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.