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Finding the Third Proportional to 170,062.50 and 265,432.50

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Solution

The third proportional to 170,062.50 and 265,432.50 is: 414,285.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,062.50 : 265,432.50 = 265,432.50 : x
  2. Step 2: Convert to fraction form
    170,062.50/265,432.50 = 265,432.50/x
  3. Step 3: Cross multiply
    170,062.50x = 265,432.50 × 265,432.50
  4. Step 4: Simplify right side
    170,062.50x = 70,454,412,056.25
  5. Step 5: Solve for x
    x = 70,454,412,056.25/170,062.50
  6. Step 6: Final answer
    x = 414,285.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.