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Finding the Third Proportional to 242,216 and 360,554

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Solution

The third proportional to 242,216 and 360,554 is: 536,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,216 : 360,554 = 360,554 : x
  2. Step 2: Convert to fraction form
    242,216/360,554 = 360,554/x
  3. Step 3: Cross multiply
    242,216x = 360,554 × 360,554
  4. Step 4: Simplify right side
    242,216x = 129,999,186,916
  5. Step 5: Solve for x
    x = 129,999,186,916/242,216
  6. Step 6: Final answer
    x = 536,707.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.