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Finding the Third Proportional to 98,535 and 215,475

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Solution

The third proportional to 98,535 and 215,475 is: 471,197.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,535 : 215,475 = 215,475 : x
  2. Step 2: Convert to fraction form
    98,535/215,475 = 215,475/x
  3. Step 3: Cross multiply
    98,535x = 215,475 × 215,475
  4. Step 4: Simplify right side
    98,535x = 46,429,475,625
  5. Step 5: Solve for x
    x = 46,429,475,625/98,535
  6. Step 6: Final answer
    x = 471,197.80

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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.