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Finding the Third Proportional to 98,380 and 151,416

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Solution

The third proportional to 98,380 and 151,416 is: 233,043.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,380 : 151,416 = 151,416 : x
  2. Step 2: Convert to fraction form
    98,380/151,416 = 151,416/x
  3. Step 3: Cross multiply
    98,380x = 151,416 × 151,416
  4. Step 4: Simplify right side
    98,380x = 22,926,805,056
  5. Step 5: Solve for x
    x = 22,926,805,056/98,380
  6. Step 6: Final answer
    x = 233,043.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.