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Finding the Third Proportional to 242,805 and 359,496.75

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Solution

The third proportional to 242,805 and 359,496.75 is: 532,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,805 : 359,496.75 = 359,496.75 : x
  2. Step 2: Convert to fraction form
    242,805/359,496.75 = 359,496.75/x
  3. Step 3: Cross multiply
    242,805x = 359,496.75 × 359,496.75
  4. Step 4: Simplify right side
    242,805x = 129,237,913,260.56
  5. Step 5: Solve for x
    x = 129,237,913,260.56/242,805
  6. Step 6: Final answer
    x = 532,270.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.