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Finding the Third Proportional to 177,886.13 and 382,973.06

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Solution

The third proportional to 177,886.13 and 382,973.06 is: 824,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,886.13 : 382,973.06 = 382,973.06 : x
  2. Step 2: Convert to fraction form
    177,886.13/382,973.06 = 382,973.06/x
  3. Step 3: Cross multiply
    177,886.13x = 382,973.06 × 382,973.06
  4. Step 4: Simplify right side
    177,886.13x = 146,668,366,600.63
  5. Step 5: Solve for x
    x = 146,668,366,600.63/177,886.13
  6. Step 6: Final answer
    x = 824,507.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.