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Finding the Third Proportional to 121,332 and 262,536

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Solution

The third proportional to 121,332 and 262,536 is: 568,070.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,332 : 262,536 = 262,536 : x
  2. Step 2: Convert to fraction form
    121,332/262,536 = 262,536/x
  3. Step 3: Cross multiply
    121,332x = 262,536 × 262,536
  4. Step 4: Simplify right side
    121,332x = 68,925,151,296
  5. Step 5: Solve for x
    x = 68,925,151,296/121,332
  6. Step 6: Final answer
    x = 568,070.68

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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.