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Finding the Third Proportional to 223,881.75 and 346,666.50

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Solution

The third proportional to 223,881.75 and 346,666.50 is: 536,790.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,881.75 : 346,666.50 = 346,666.50 : x
  2. Step 2: Convert to fraction form
    223,881.75/346,666.50 = 346,666.50/x
  3. Step 3: Cross multiply
    223,881.75x = 346,666.50 × 346,666.50
  4. Step 4: Simplify right side
    223,881.75x = 120,177,662,222.25
  5. Step 5: Solve for x
    x = 120,177,662,222.25/223,881.75
  6. Step 6: Final answer
    x = 536,790.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.