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Finding the Third Proportional to 207,316 and 313,134

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Solution

The third proportional to 207,316 and 313,134 is: 472,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,316 : 313,134 = 313,134 : x
  2. Step 2: Convert to fraction form
    207,316/313,134 = 313,134/x
  3. Step 3: Cross multiply
    207,316x = 313,134 × 313,134
  4. Step 4: Simplify right side
    207,316x = 98,052,901,956
  5. Step 5: Solve for x
    x = 98,052,901,956/207,316
  6. Step 6: Final answer
    x = 472,963.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.