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Finding the Third Proportional to 98,240 and 151,088

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Solution

The third proportional to 98,240 and 151,088 is: 232,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,240 : 151,088 = 151,088 : x
  2. Step 2: Convert to fraction form
    98,240/151,088 = 151,088/x
  3. Step 3: Cross multiply
    98,240x = 151,088 × 151,088
  4. Step 4: Simplify right side
    98,240x = 22,827,583,744
  5. Step 5: Solve for x
    x = 22,827,583,744/98,240
  6. Step 6: Final answer
    x = 232,365.47

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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.