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Finding the Third Proportional to 186,363 and 248,295

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Solution

The third proportional to 186,363 and 248,295 is: 330,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,363 : 248,295 = 248,295 : x
  2. Step 2: Convert to fraction form
    186,363/248,295 = 248,295/x
  3. Step 3: Cross multiply
    186,363x = 248,295 × 248,295
  4. Step 4: Simplify right side
    186,363x = 61,650,407,025
  5. Step 5: Solve for x
    x = 61,650,407,025/186,363
  6. Step 6: Final answer
    x = 330,808.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.