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Finding the Third Proportional to 186,368 and 248,304

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Solution

The third proportional to 186,368 and 248,304 is: 330,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,368 : 248,304 = 248,304 : x
  2. Step 2: Convert to fraction form
    186,368/248,304 = 248,304/x
  3. Step 3: Cross multiply
    186,368x = 248,304 × 248,304
  4. Step 4: Simplify right side
    186,368x = 61,654,876,416
  5. Step 5: Solve for x
    x = 61,654,876,416/186,368
  6. Step 6: Final answer
    x = 330,823.30

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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.