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Finding the Third Proportional to 98,405 and 156,658

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Solution

The third proportional to 98,405 and 156,658 is: 249,395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,405 : 156,658 = 156,658 : x
  2. Step 2: Convert to fraction form
    98,405/156,658 = 156,658/x
  3. Step 3: Cross multiply
    98,405x = 156,658 × 156,658
  4. Step 4: Simplify right side
    98,405x = 24,541,728,964
  5. Step 5: Solve for x
    x = 24,541,728,964/98,405
  6. Step 6: Final answer
    x = 249,395.14

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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.