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Finding the Third Proportional to 158,476.50 and 352,387.13

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Solution

The third proportional to 158,476.50 and 352,387.13 is: 783,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,476.50 : 352,387.13 = 352,387.13 : x
  2. Step 2: Convert to fraction form
    158,476.50/352,387.13 = 352,387.13/x
  3. Step 3: Cross multiply
    158,476.50x = 352,387.13 × 352,387.13
  4. Step 4: Simplify right side
    158,476.50x = 124,176,685,865.77
  5. Step 5: Solve for x
    x = 124,176,685,865.77/158,476.50
  6. Step 6: Final answer
    x = 783,565.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.