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Finding the Third Proportional to 98,460 and 216,602

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Solution

The third proportional to 98,460 and 216,602 is: 476,502.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,460 : 216,602 = 216,602 : x
  2. Step 2: Convert to fraction form
    98,460/216,602 = 216,602/x
  3. Step 3: Cross multiply
    98,460x = 216,602 × 216,602
  4. Step 4: Simplify right side
    98,460x = 46,916,426,404
  5. Step 5: Solve for x
    x = 46,916,426,404/98,460
  6. Step 6: Final answer
    x = 476,502.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.