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Finding the Third Proportional to 153,264 and 227,709

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Solution

The third proportional to 153,264 and 227,709 is: 338,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,264 : 227,709 = 227,709 : x
  2. Step 2: Convert to fraction form
    153,264/227,709 = 227,709/x
  3. Step 3: Cross multiply
    153,264x = 227,709 × 227,709
  4. Step 4: Simplify right side
    153,264x = 51,851,388,681
  5. Step 5: Solve for x
    x = 51,851,388,681/153,264
  6. Step 6: Final answer
    x = 338,314.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.