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Finding the Third Proportional to 147,686.63 and 323,966.25

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Solution

The third proportional to 147,686.63 and 323,966.25 is: 710,654.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,686.63 : 323,966.25 = 323,966.25 : x
  2. Step 2: Convert to fraction form
    147,686.63/323,966.25 = 323,966.25/x
  3. Step 3: Cross multiply
    147,686.63x = 323,966.25 × 323,966.25
  4. Step 4: Simplify right side
    147,686.63x = 104,954,131,139.06
  5. Step 5: Solve for x
    x = 104,954,131,139.06/147,686.63
  6. Step 6: Final answer
    x = 710,654.27

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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.