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Finding the Third Proportional to 135,724 and 295,541

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Solution

The third proportional to 135,724 and 295,541 is: 643,544.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,724 : 295,541 = 295,541 : x
  2. Step 2: Convert to fraction form
    135,724/295,541 = 295,541/x
  3. Step 3: Cross multiply
    135,724x = 295,541 × 295,541
  4. Step 4: Simplify right side
    135,724x = 87,344,482,681
  5. Step 5: Solve for x
    x = 87,344,482,681/135,724
  6. Step 6: Final answer
    x = 643,544.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.