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Finding the Third Proportional to 134,948 and 288,581

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Solution

The third proportional to 134,948 and 288,581 is: 617,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,948 : 288,581 = 288,581 : x
  2. Step 2: Convert to fraction form
    134,948/288,581 = 288,581/x
  3. Step 3: Cross multiply
    134,948x = 288,581 × 288,581
  4. Step 4: Simplify right side
    134,948x = 83,278,993,561
  5. Step 5: Solve for x
    x = 83,278,993,561/134,948
  6. Step 6: Final answer
    x = 617,119.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.