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Finding the Third Proportional to 184,220.58 and 402,698.46

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Solution

The third proportional to 184,220.58 and 402,698.46 is: 880,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,220.58 : 402,698.46 = 402,698.46 : x
  2. Step 2: Convert to fraction form
    184,220.58/402,698.46 = 402,698.46/x
  3. Step 3: Cross multiply
    184,220.58x = 402,698.46 × 402,698.46
  4. Step 4: Simplify right side
    184,220.58x = 162,166,050,441.43
  5. Step 5: Solve for x
    x = 162,166,050,441.43/184,220.58
  6. Step 6: Final answer
    x = 880,281.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.