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Finding the Third Proportional to 119,535 and 251,310

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Solution

The third proportional to 119,535 and 251,310 is: 528,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,535 : 251,310 = 251,310 : x
  2. Step 2: Convert to fraction form
    119,535/251,310 = 251,310/x
  3. Step 3: Cross multiply
    119,535x = 251,310 × 251,310
  4. Step 4: Simplify right side
    119,535x = 63,156,716,100
  5. Step 5: Solve for x
    x = 63,156,716,100/119,535
  6. Step 6: Final answer
    x = 528,353.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.