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Finding the Third Proportional to 147,912 and 325,328

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Solution

The third proportional to 147,912 and 325,328 is: 715,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,912 : 325,328 = 325,328 : x
  2. Step 2: Convert to fraction form
    147,912/325,328 = 325,328/x
  3. Step 3: Cross multiply
    147,912x = 325,328 × 325,328
  4. Step 4: Simplify right side
    147,912x = 105,838,307,584
  5. Step 5: Solve for x
    x = 105,838,307,584/147,912
  6. Step 6: Final answer
    x = 715,549.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.