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Finding the Third Proportional to 119,235 and 252,681

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Solution

The third proportional to 119,235 and 252,681 is: 535,477.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,235 : 252,681 = 252,681 : x
  2. Step 2: Convert to fraction form
    119,235/252,681 = 252,681/x
  3. Step 3: Cross multiply
    119,235x = 252,681 × 252,681
  4. Step 4: Simplify right side
    119,235x = 63,847,687,761
  5. Step 5: Solve for x
    x = 63,847,687,761/119,235
  6. Step 6: Final answer
    x = 535,477.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.