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Finding the Third Proportional to 153,265.50 and 227,710.50

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Solution

The third proportional to 153,265.50 and 227,710.50 is: 338,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,265.50 : 227,710.50 = 227,710.50 : x
  2. Step 2: Convert to fraction form
    153,265.50/227,710.50 = 227,710.50/x
  3. Step 3: Cross multiply
    153,265.50x = 227,710.50 × 227,710.50
  4. Step 4: Simplify right side
    153,265.50x = 51,852,071,810.25
  5. Step 5: Solve for x
    x = 51,852,071,810.25/153,265.50
  6. Step 6: Final answer
    x = 338,315.35

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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.