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Finding the Third Proportional to 197,569.13 and 418,648.50

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Solution

The third proportional to 197,569.13 and 418,648.50 is: 887,115.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,569.13 : 418,648.50 = 418,648.50 : x
  2. Step 2: Convert to fraction form
    197,569.13/418,648.50 = 418,648.50/x
  3. Step 3: Cross multiply
    197,569.13x = 418,648.50 × 418,648.50
  4. Step 4: Simplify right side
    197,569.13x = 175,266,566,552.25
  5. Step 5: Solve for x
    x = 175,266,566,552.25/197,569.13
  6. Step 6: Final answer
    x = 887,115.16

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Why These Related Problems?

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