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Finding the Third Proportional to 147,916.88 and 323,971.13

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Solution

The third proportional to 147,916.88 and 323,971.13 is: 709,569.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,916.88 : 323,971.13 = 323,971.13 : x
  2. Step 2: Convert to fraction form
    147,916.88/323,971.13 = 323,971.13/x
  3. Step 3: Cross multiply
    147,916.88x = 323,971.13 × 323,971.13
  4. Step 4: Simplify right side
    147,916.88x = 104,957,289,833.77
  5. Step 5: Solve for x
    x = 104,957,289,833.77/147,916.88
  6. Step 6: Final answer
    x = 709,569.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.