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Finding the Third Proportional to 229,242 and 316,748

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Solution

The third proportional to 229,242 and 316,748 is: 437,656.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,242 : 316,748 = 316,748 : x
  2. Step 2: Convert to fraction form
    229,242/316,748 = 316,748/x
  3. Step 3: Cross multiply
    229,242x = 316,748 × 316,748
  4. Step 4: Simplify right side
    229,242x = 100,329,295,504
  5. Step 5: Solve for x
    x = 100,329,295,504/229,242
  6. Step 6: Final answer
    x = 437,656.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.