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Finding the Third Proportional to 175,062 and 264,681

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Solution

The third proportional to 175,062 and 264,681 is: 400,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,062 : 264,681 = 264,681 : x
  2. Step 2: Convert to fraction form
    175,062/264,681 = 264,681/x
  3. Step 3: Cross multiply
    175,062x = 264,681 × 264,681
  4. Step 4: Simplify right side
    175,062x = 70,056,031,761
  5. Step 5: Solve for x
    x = 70,056,031,761/175,062
  6. Step 6: Final answer
    x = 400,178.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.