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Finding the Third Proportional to 333,155 and 499,186

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Solution

The third proportional to 333,155 and 499,186 is: 747,960.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,155 : 499,186 = 499,186 : x
  2. Step 2: Convert to fraction form
    333,155/499,186 = 499,186/x
  3. Step 3: Cross multiply
    333,155x = 499,186 × 499,186
  4. Step 4: Simplify right side
    333,155x = 249,186,662,596
  5. Step 5: Solve for x
    x = 249,186,662,596/333,155
  6. Step 6: Final answer
    x = 747,960.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.