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Finding the Third Proportional to 153,264 and 325,080

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Solution

The third proportional to 153,264 and 325,080 is: 689,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,264 : 325,080 = 325,080 : x
  2. Step 2: Convert to fraction form
    153,264/325,080 = 325,080/x
  3. Step 3: Cross multiply
    153,264x = 325,080 × 325,080
  4. Step 4: Simplify right side
    153,264x = 105,677,006,400
  5. Step 5: Solve for x
    x = 105,677,006,400/153,264
  6. Step 6: Final answer
    x = 689,509.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.