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Finding the Third Proportional to 115,435 and 247,295

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Solution

The third proportional to 115,435 and 247,295 is: 529,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,435 : 247,295 = 247,295 : x
  2. Step 2: Convert to fraction form
    115,435/247,295 = 247,295/x
  3. Step 3: Cross multiply
    115,435x = 247,295 × 247,295
  4. Step 4: Simplify right side
    115,435x = 61,154,817,025
  5. Step 5: Solve for x
    x = 61,154,817,025/115,435
  6. Step 6: Final answer
    x = 529,777.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.