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Finding the Third Proportional to 119,250 and 260,346

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Solution

The third proportional to 119,250 and 260,346 is: 568,386.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,250 : 260,346 = 260,346 : x
  2. Step 2: Convert to fraction form
    119,250/260,346 = 260,346/x
  3. Step 3: Cross multiply
    119,250x = 260,346 × 260,346
  4. Step 4: Simplify right side
    119,250x = 67,780,039,716
  5. Step 5: Solve for x
    x = 67,780,039,716/119,250
  6. Step 6: Final answer
    x = 568,386.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.