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Finding the Third Proportional to 157,846.50 and 335,409

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Solution

The third proportional to 157,846.50 and 335,409 is: 712,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,846.50 : 335,409 = 335,409 : x
  2. Step 2: Convert to fraction form
    157,846.50/335,409 = 335,409/x
  3. Step 3: Cross multiply
    157,846.50x = 335,409 × 335,409
  4. Step 4: Simplify right side
    157,846.50x = 112,499,197,281
  5. Step 5: Solve for x
    x = 112,499,197,281/157,846.50
  6. Step 6: Final answer
    x = 712,712.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.