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Finding the Third Proportional to 98,283 and 147,270

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Solution

The third proportional to 98,283 and 147,270 is: 220,673.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,283 : 147,270 = 147,270 : x
  2. Step 2: Convert to fraction form
    98,283/147,270 = 147,270/x
  3. Step 3: Cross multiply
    98,283x = 147,270 × 147,270
  4. Step 4: Simplify right side
    98,283x = 21,688,452,900
  5. Step 5: Solve for x
    x = 21,688,452,900/98,283
  6. Step 6: Final answer
    x = 220,673.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.