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Finding the Third Proportional to 134,972 and 286,554

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Solution

The third proportional to 134,972 and 286,554 is: 608,372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,972 : 286,554 = 286,554 : x
  2. Step 2: Convert to fraction form
    134,972/286,554 = 286,554/x
  3. Step 3: Cross multiply
    134,972x = 286,554 × 286,554
  4. Step 4: Simplify right side
    134,972x = 82,113,194,916
  5. Step 5: Solve for x
    x = 82,113,194,916/134,972
  6. Step 6: Final answer
    x = 608,372.07

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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.