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Finding the Third Proportional to 141,141 and 302,748

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Solution

The third proportional to 141,141 and 302,748 is: 649,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,141 : 302,748 = 302,748 : x
  2. Step 2: Convert to fraction form
    141,141/302,748 = 302,748/x
  3. Step 3: Cross multiply
    141,141x = 302,748 × 302,748
  4. Step 4: Simplify right side
    141,141x = 91,656,351,504
  5. Step 5: Solve for x
    x = 91,656,351,504/141,141
  6. Step 6: Final answer
    x = 649,395.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.