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Finding the Third Proportional to 175,032 and 265,686.50

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Solution

The third proportional to 175,032 and 265,686.50 is: 403,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,032 : 265,686.50 = 265,686.50 : x
  2. Step 2: Convert to fraction form
    175,032/265,686.50 = 265,686.50/x
  3. Step 3: Cross multiply
    175,032x = 265,686.50 × 265,686.50
  4. Step 4: Simplify right side
    175,032x = 70,589,316,282.25
  5. Step 5: Solve for x
    x = 70,589,316,282.25/175,032
  6. Step 6: Final answer
    x = 403,293.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.