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Finding the Third Proportional to 168,386 and 357,532

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Solution

The third proportional to 168,386 and 357,532 is: 759,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,386 : 357,532 = 357,532 : x
  2. Step 2: Convert to fraction form
    168,386/357,532 = 357,532/x
  3. Step 3: Cross multiply
    168,386x = 357,532 × 357,532
  4. Step 4: Simplify right side
    168,386x = 127,829,131,024
  5. Step 5: Solve for x
    x = 127,829,131,024/168,386
  6. Step 6: Final answer
    x = 759,143.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.