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Finding the Third Proportional to 243,329 and 325,488

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Solution

The third proportional to 243,329 and 325,488 is: 435,387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,329 : 325,488 = 325,488 : x
  2. Step 2: Convert to fraction form
    243,329/325,488 = 325,488/x
  3. Step 3: Cross multiply
    243,329x = 325,488 × 325,488
  4. Step 4: Simplify right side
    243,329x = 105,942,438,144
  5. Step 5: Solve for x
    x = 105,942,438,144/243,329
  6. Step 6: Final answer
    x = 435,387.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.