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Finding the Third Proportional to 153,042 and 330,675

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Solution

The third proportional to 153,042 and 330,675 is: 714,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,042 : 330,675 = 330,675 : x
  2. Step 2: Convert to fraction form
    153,042/330,675 = 330,675/x
  3. Step 3: Cross multiply
    153,042x = 330,675 × 330,675
  4. Step 4: Simplify right side
    153,042x = 109,345,955,625
  5. Step 5: Solve for x
    x = 109,345,955,625/153,042
  6. Step 6: Final answer
    x = 714,483.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.