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Finding the Third Proportional to 98,316 and 148,280

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Solution

The third proportional to 98,316 and 148,280 is: 223,635.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,316 : 148,280 = 148,280 : x
  2. Step 2: Convert to fraction form
    98,316/148,280 = 148,280/x
  3. Step 3: Cross multiply
    98,316x = 148,280 × 148,280
  4. Step 4: Simplify right side
    98,316x = 21,986,958,400
  5. Step 5: Solve for x
    x = 21,986,958,400/98,316
  6. Step 6: Final answer
    x = 223,635.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.