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Finding the Third Proportional to 153,313 and 335,126

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Solution

The third proportional to 153,313 and 335,126 is: 732,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,313 : 335,126 = 335,126 : x
  2. Step 2: Convert to fraction form
    153,313/335,126 = 335,126/x
  3. Step 3: Cross multiply
    153,313x = 335,126 × 335,126
  4. Step 4: Simplify right side
    153,313x = 112,309,435,876
  5. Step 5: Solve for x
    x = 112,309,435,876/153,313
  6. Step 6: Final answer
    x = 732,549.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.