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Finding the Third Proportional to 175,051.13 and 240,706.69

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Solution

The third proportional to 175,051.13 and 240,706.69 is: 330,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,051.13 : 240,706.69 = 240,706.69 : x
  2. Step 2: Convert to fraction form
    175,051.13/240,706.69 = 240,706.69/x
  3. Step 3: Cross multiply
    175,051.13x = 240,706.69 × 240,706.69
  4. Step 4: Simplify right side
    175,051.13x = 57,939,709,407.22
  5. Step 5: Solve for x
    x = 57,939,709,407.22/175,051.13
  6. Step 6: Final answer
    x = 330,987.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.