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Finding the Third Proportional to 174,664.75 and 355,752.50

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Solution

The third proportional to 174,664.75 and 355,752.50 is: 724,587.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,664.75 : 355,752.50 = 355,752.50 : x
  2. Step 2: Convert to fraction form
    174,664.75/355,752.50 = 355,752.50/x
  3. Step 3: Cross multiply
    174,664.75x = 355,752.50 × 355,752.50
  4. Step 4: Simplify right side
    174,664.75x = 126,559,841,256.25
  5. Step 5: Solve for x
    x = 126,559,841,256.25/174,664.75
  6. Step 6: Final answer
    x = 724,587.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.