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Finding the Third Proportional to 176,746.50 and 373,966.50

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Solution

The third proportional to 176,746.50 and 373,966.50 is: 791,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,746.50 : 373,966.50 = 373,966.50 : x
  2. Step 2: Convert to fraction form
    176,746.50/373,966.50 = 373,966.50/x
  3. Step 3: Cross multiply
    176,746.50x = 373,966.50 × 373,966.50
  4. Step 4: Simplify right side
    176,746.50x = 139,850,943,122.25
  5. Step 5: Solve for x
    x = 139,850,943,122.25/176,746.50
  6. Step 6: Final answer
    x = 791,251.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.