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Finding the Third Proportional to 74,502 and 152,284

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Solution

The third proportional to 74,502 and 152,284 is: 311,272.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,502 : 152,284 = 152,284 : x
  2. Step 2: Convert to fraction form
    74,502/152,284 = 152,284/x
  3. Step 3: Cross multiply
    74,502x = 152,284 × 152,284
  4. Step 4: Simplify right side
    74,502x = 23,190,416,656
  5. Step 5: Solve for x
    x = 23,190,416,656/74,502
  6. Step 6: Final answer
    x = 311,272.40

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.