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Finding the Third Proportional to 227,068 and 343,746

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Solution

The third proportional to 227,068 and 343,746 is: 520,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,068 : 343,746 = 343,746 : x
  2. Step 2: Convert to fraction form
    227,068/343,746 = 343,746/x
  3. Step 3: Cross multiply
    227,068x = 343,746 × 343,746
  4. Step 4: Simplify right side
    227,068x = 118,161,312,516
  5. Step 5: Solve for x
    x = 118,161,312,516/227,068
  6. Step 6: Final answer
    x = 520,378.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.