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Finding the Third Proportional to 98,253 and 151,348.50

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Solution

The third proportional to 98,253 and 151,348.50 is: 233,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,253 : 151,348.50 = 151,348.50 : x
  2. Step 2: Convert to fraction form
    98,253/151,348.50 = 151,348.50/x
  3. Step 3: Cross multiply
    98,253x = 151,348.50 × 151,348.50
  4. Step 4: Simplify right side
    98,253x = 22,906,368,452.25
  5. Step 5: Solve for x
    x = 22,906,368,452.25/98,253
  6. Step 6: Final answer
    x = 233,136.58

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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.