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Finding the Third Proportional to 186,964 and 290,048

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Solution

The third proportional to 186,964 and 290,048 is: 449,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,964 : 290,048 = 290,048 : x
  2. Step 2: Convert to fraction form
    186,964/290,048 = 290,048/x
  3. Step 3: Cross multiply
    186,964x = 290,048 × 290,048
  4. Step 4: Simplify right side
    186,964x = 84,127,842,304
  5. Step 5: Solve for x
    x = 84,127,842,304/186,964
  6. Step 6: Final answer
    x = 449,968.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.