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Finding the Third Proportional to 152,307 and 223,263

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Solution

The third proportional to 152,307 and 223,263 is: 327,275.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307 : 223,263 = 223,263 : x
  2. Step 2: Convert to fraction form
    152,307/223,263 = 223,263/x
  3. Step 3: Cross multiply
    152,307x = 223,263 × 223,263
  4. Step 4: Simplify right side
    152,307x = 49,846,367,169
  5. Step 5: Solve for x
    x = 49,846,367,169/152,307
  6. Step 6: Final answer
    x = 327,275.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.