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Finding the Third Proportional to 98,644 and 150,428

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Solution

The third proportional to 98,644 and 150,428 is: 229,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,644 : 150,428 = 150,428 : x
  2. Step 2: Convert to fraction form
    98,644/150,428 = 150,428/x
  3. Step 3: Cross multiply
    98,644x = 150,428 × 150,428
  4. Step 4: Simplify right side
    98,644x = 22,628,583,184
  5. Step 5: Solve for x
    x = 22,628,583,184/98,644
  6. Step 6: Final answer
    x = 229,396.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.