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Finding the Third Proportional to 186,358 and 248,289

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Solution

The third proportional to 186,358 and 248,289 is: 330,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,358 : 248,289 = 248,289 : x
  2. Step 2: Convert to fraction form
    186,358/248,289 = 248,289/x
  3. Step 3: Cross multiply
    186,358x = 248,289 × 248,289
  4. Step 4: Simplify right side
    186,358x = 61,647,427,521
  5. Step 5: Solve for x
    x = 61,647,427,521/186,358
  6. Step 6: Final answer
    x = 330,801.08

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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.