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Finding the Third Proportional to 123,417.66 and 265,518.08

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Solution

The third proportional to 123,417.66 and 265,518.08 is: 571,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,417.66 : 265,518.08 = 265,518.08 : x
  2. Step 2: Convert to fraction form
    123,417.66/265,518.08 = 265,518.08/x
  3. Step 3: Cross multiply
    123,417.66x = 265,518.08 × 265,518.08
  4. Step 4: Simplify right side
    123,417.66x = 70,499,850,329.78
  5. Step 5: Solve for x
    x = 70,499,850,329.78/123,417.66
  6. Step 6: Final answer
    x = 571,229.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.