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Finding the Third Proportional to 168,332.50 and 363,371

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Solution

The third proportional to 168,332.50 and 363,371 is: 784,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,332.50 : 363,371 = 363,371 : x
  2. Step 2: Convert to fraction form
    168,332.50/363,371 = 363,371/x
  3. Step 3: Cross multiply
    168,332.50x = 363,371 × 363,371
  4. Step 4: Simplify right side
    168,332.50x = 132,038,483,641
  5. Step 5: Solve for x
    x = 132,038,483,641/168,332.50
  6. Step 6: Final answer
    x = 784,390.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.