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Finding the Third Proportional to 157,082 and 335,332

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Solution

The third proportional to 157,082 and 335,332 is: 715,852.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,082 : 335,332 = 335,332 : x
  2. Step 2: Convert to fraction form
    157,082/335,332 = 335,332/x
  3. Step 3: Cross multiply
    157,082x = 335,332 × 335,332
  4. Step 4: Simplify right side
    157,082x = 112,447,550,224
  5. Step 5: Solve for x
    x = 112,447,550,224/157,082
  6. Step 6: Final answer
    x = 715,852.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.