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Finding the Third Proportional to 165,802.50 and 355,263.75

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Solution

The third proportional to 165,802.50 and 355,263.75 is: 761,220.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,802.50 : 355,263.75 = 355,263.75 : x
  2. Step 2: Convert to fraction form
    165,802.50/355,263.75 = 355,263.75/x
  3. Step 3: Cross multiply
    165,802.50x = 355,263.75 × 355,263.75
  4. Step 4: Simplify right side
    165,802.50x = 126,212,332,064.06
  5. Step 5: Solve for x
    x = 126,212,332,064.06/165,802.50
  6. Step 6: Final answer
    x = 761,220.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.