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Finding the Third Proportional to 98,208 and 151,146

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Solution

The third proportional to 98,208 and 151,146 is: 232,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,208 : 151,146 = 151,146 : x
  2. Step 2: Convert to fraction form
    98,208/151,146 = 151,146/x
  3. Step 3: Cross multiply
    98,208x = 151,146 × 151,146
  4. Step 4: Simplify right side
    98,208x = 22,845,113,316
  5. Step 5: Solve for x
    x = 22,845,113,316/98,208
  6. Step 6: Final answer
    x = 232,619.68

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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.