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Finding the Third Proportional to 98,598 and 215,854

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Solution

The third proportional to 98,598 and 215,854 is: 472,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,598 : 215,854 = 215,854 : x
  2. Step 2: Convert to fraction form
    98,598/215,854 = 215,854/x
  3. Step 3: Cross multiply
    98,598x = 215,854 × 215,854
  4. Step 4: Simplify right side
    98,598x = 46,592,949,316
  5. Step 5: Solve for x
    x = 46,592,949,316/98,598
  6. Step 6: Final answer
    x = 472,554.71

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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.