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Finding the Third Proportional to 74,328 and 160,320

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Solution

The third proportional to 74,328 and 160,320 is: 345,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,328 : 160,320 = 160,320 : x
  2. Step 2: Convert to fraction form
    74,328/160,320 = 160,320/x
  3. Step 3: Cross multiply
    74,328x = 160,320 × 160,320
  4. Step 4: Simplify right side
    74,328x = 25,702,502,400
  5. Step 5: Solve for x
    x = 25,702,502,400/74,328
  6. Step 6: Final answer
    x = 345,798.39

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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.