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Finding the Third Proportional to 98,423 and 156,684

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Solution

The third proportional to 98,423 and 156,684 is: 249,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,423 : 156,684 = 156,684 : x
  2. Step 2: Convert to fraction form
    98,423/156,684 = 156,684/x
  3. Step 3: Cross multiply
    98,423x = 156,684 × 156,684
  4. Step 4: Simplify right side
    98,423x = 24,549,875,856
  5. Step 5: Solve for x
    x = 24,549,875,856/98,423
  6. Step 6: Final answer
    x = 249,432.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.