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Finding the Third Proportional to 152,840 and 335,206

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Solution

The third proportional to 152,840 and 335,206 is: 735,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,840 : 335,206 = 335,206 : x
  2. Step 2: Convert to fraction form
    152,840/335,206 = 335,206/x
  3. Step 3: Cross multiply
    152,840x = 335,206 × 335,206
  4. Step 4: Simplify right side
    152,840x = 112,363,062,436
  5. Step 5: Solve for x
    x = 112,363,062,436/152,840
  6. Step 6: Final answer
    x = 735,167.90

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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.