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Finding the Third Proportional to 216,132.38 and 469,641

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Solution

The third proportional to 216,132.38 and 469,641 is: 1,020,498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,132.38 : 469,641 = 469,641 : x
  2. Step 2: Convert to fraction form
    216,132.38/469,641 = 469,641/x
  3. Step 3: Cross multiply
    216,132.38x = 469,641 × 469,641
  4. Step 4: Simplify right side
    216,132.38x = 220,562,668,881
  5. Step 5: Solve for x
    x = 220,562,668,881/216,132.38
  6. Step 6: Final answer
    x = 1,020,498.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.