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Finding the Third Proportional to 119,574 and 251,541

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Solution

The third proportional to 119,574 and 251,541 is: 529,152.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,574 : 251,541 = 251,541 : x
  2. Step 2: Convert to fraction form
    119,574/251,541 = 251,541/x
  3. Step 3: Cross multiply
    119,574x = 251,541 × 251,541
  4. Step 4: Simplify right side
    119,574x = 63,272,874,681
  5. Step 5: Solve for x
    x = 63,272,874,681/119,574
  6. Step 6: Final answer
    x = 529,152.45

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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.