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Finding the Third Proportional to 74,352 and 152,328

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Solution

The third proportional to 74,352 and 152,328 is: 312,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,352 : 152,328 = 152,328 : x
  2. Step 2: Convert to fraction form
    74,352/152,328 = 152,328/x
  3. Step 3: Cross multiply
    74,352x = 152,328 × 152,328
  4. Step 4: Simplify right side
    74,352x = 23,203,819,584
  5. Step 5: Solve for x
    x = 23,203,819,584/74,352
  6. Step 6: Final answer
    x = 312,080.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.