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Finding the Third Proportional to 134,454 and 286,572

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Solution

The third proportional to 134,454 and 286,572 is: 610,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,454 : 286,572 = 286,572 : x
  2. Step 2: Convert to fraction form
    134,454/286,572 = 286,572/x
  3. Step 3: Cross multiply
    134,454x = 286,572 × 286,572
  4. Step 4: Simplify right side
    134,454x = 82,123,511,184
  5. Step 5: Solve for x
    x = 82,123,511,184/134,454
  6. Step 6: Final answer
    x = 610,792.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.