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Finding the Third Proportional to 147,314 and 226,722

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Solution

The third proportional to 147,314 and 226,722 is: 348,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314 : 226,722 = 226,722 : x
  2. Step 2: Convert to fraction form
    147,314/226,722 = 226,722/x
  3. Step 3: Cross multiply
    147,314x = 226,722 × 226,722
  4. Step 4: Simplify right side
    147,314x = 51,402,865,284
  5. Step 5: Solve for x
    x = 51,402,865,284/147,314
  6. Step 6: Final answer
    x = 348,934.01

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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.