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Finding the Third Proportional to 154,294 and 327,541

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Solution

The third proportional to 154,294 and 327,541 is: 695,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,294 : 327,541 = 327,541 : x
  2. Step 2: Convert to fraction form
    154,294/327,541 = 327,541/x
  3. Step 3: Cross multiply
    154,294x = 327,541 × 327,541
  4. Step 4: Simplify right side
    154,294x = 107,283,106,681
  5. Step 5: Solve for x
    x = 107,283,106,681/154,294
  6. Step 6: Final answer
    x = 695,316.13

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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.