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Finding the Third Proportional to 183,418 and 402,488.50

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Solution

The third proportional to 183,418 and 402,488.50 is: 883,212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,418 : 402,488.50 = 402,488.50 : x
  2. Step 2: Convert to fraction form
    183,418/402,488.50 = 402,488.50/x
  3. Step 3: Cross multiply
    183,418x = 402,488.50 × 402,488.50
  4. Step 4: Simplify right side
    183,418x = 161,996,992,632.25
  5. Step 5: Solve for x
    x = 161,996,992,632.25/183,418
  6. Step 6: Final answer
    x = 883,212.08

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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.