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Finding the Third Proportional to 231,612.50 and 346,055.25

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Solution

The third proportional to 231,612.50 and 346,055.25 is: 517,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,612.50 : 346,055.25 = 346,055.25 : x
  2. Step 2: Convert to fraction form
    231,612.50/346,055.25 = 346,055.25/x
  3. Step 3: Cross multiply
    231,612.50x = 346,055.25 × 346,055.25
  4. Step 4: Simplify right side
    231,612.50x = 119,754,236,052.56
  5. Step 5: Solve for x
    x = 119,754,236,052.56/231,612.50
  6. Step 6: Final answer
    x = 517,045.65

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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.