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Finding the Third Proportional to 235,594 and 375,240

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Solution

The third proportional to 235,594 and 375,240 is: 597,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,594 : 375,240 = 375,240 : x
  2. Step 2: Convert to fraction form
    235,594/375,240 = 375,240/x
  3. Step 3: Cross multiply
    235,594x = 375,240 × 375,240
  4. Step 4: Simplify right side
    235,594x = 140,805,057,600
  5. Step 5: Solve for x
    x = 140,805,057,600/235,594
  6. Step 6: Final answer
    x = 597,659.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.