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Finding the Third Proportional to 114,591 and 252,429

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Solution

The third proportional to 114,591 and 252,429 is: 556,068.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,591 : 252,429 = 252,429 : x
  2. Step 2: Convert to fraction form
    114,591/252,429 = 252,429/x
  3. Step 3: Cross multiply
    114,591x = 252,429 × 252,429
  4. Step 4: Simplify right side
    114,591x = 63,720,400,041
  5. Step 5: Solve for x
    x = 63,720,400,041/114,591
  6. Step 6: Final answer
    x = 556,068.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.