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Finding the Third Proportional to 98,652 and 215,952

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Solution

The third proportional to 98,652 and 215,952 is: 472,725.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652 : 215,952 = 215,952 : x
  2. Step 2: Convert to fraction form
    98,652/215,952 = 215,952/x
  3. Step 3: Cross multiply
    98,652x = 215,952 × 215,952
  4. Step 4: Simplify right side
    98,652x = 46,635,266,304
  5. Step 5: Solve for x
    x = 46,635,266,304/98,652
  6. Step 6: Final answer
    x = 472,725.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.