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Finding the Third Proportional to 151,202 and 325,516

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Solution

The third proportional to 151,202 and 325,516 is: 700,788.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,202 : 325,516 = 325,516 : x
  2. Step 2: Convert to fraction form
    151,202/325,516 = 325,516/x
  3. Step 3: Cross multiply
    151,202x = 325,516 × 325,516
  4. Step 4: Simplify right side
    151,202x = 105,960,666,256
  5. Step 5: Solve for x
    x = 105,960,666,256/151,202
  6. Step 6: Final answer
    x = 700,788.79

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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.