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Finding the Third Proportional to 175,461.19 and 256,630.78

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Solution

The third proportional to 175,461.19 and 256,630.78 is: 375,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,461.19 : 256,630.78 = 256,630.78 : x
  2. Step 2: Convert to fraction form
    175,461.19/256,630.78 = 256,630.78/x
  3. Step 3: Cross multiply
    175,461.19x = 256,630.78 × 256,630.78
  4. Step 4: Simplify right side
    175,461.19x = 65,859,357,884.99
  5. Step 5: Solve for x
    x = 65,859,357,884.99/175,461.19
  6. Step 6: Final answer
    x = 375,350.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.