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Finding the Third Proportional to 74,412 and 160,488

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Solution

The third proportional to 74,412 and 160,488 is: 346,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,412 : 160,488 = 160,488 : x
  2. Step 2: Convert to fraction form
    74,412/160,488 = 160,488/x
  3. Step 3: Cross multiply
    74,412x = 160,488 × 160,488
  4. Step 4: Simplify right side
    74,412x = 25,756,398,144
  5. Step 5: Solve for x
    x = 25,756,398,144/74,412
  6. Step 6: Final answer
    x = 346,132.32

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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.