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Finding the Third Proportional to 223,210 and 336,827.50

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Solution

The third proportional to 223,210 and 336,827.50 is: 508,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,210 : 336,827.50 = 336,827.50 : x
  2. Step 2: Convert to fraction form
    223,210/336,827.50 = 336,827.50/x
  3. Step 3: Cross multiply
    223,210x = 336,827.50 × 336,827.50
  4. Step 4: Simplify right side
    223,210x = 113,452,764,756.25
  5. Step 5: Solve for x
    x = 113,452,764,756.25/223,210
  6. Step 6: Final answer
    x = 508,278.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.