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Finding the Third Proportional to 147,582 and 227,913.75

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Solution

The third proportional to 147,582 and 227,913.75 is: 351,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,582 : 227,913.75 = 227,913.75 : x
  2. Step 2: Convert to fraction form
    147,582/227,913.75 = 227,913.75/x
  3. Step 3: Cross multiply
    147,582x = 227,913.75 × 227,913.75
  4. Step 4: Simplify right side
    147,582x = 51,944,677,439.06
  5. Step 5: Solve for x
    x = 51,944,677,439.06/147,582
  6. Step 6: Final answer
    x = 351,971.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.