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Finding the Third Proportional to 152,303 and 223,257

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Solution

The third proportional to 152,303 and 223,257 is: 327,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,303 : 223,257 = 223,257 : x
  2. Step 2: Convert to fraction form
    152,303/223,257 = 223,257/x
  3. Step 3: Cross multiply
    152,303x = 223,257 × 223,257
  4. Step 4: Simplify right side
    152,303x = 49,843,688,049
  5. Step 5: Solve for x
    x = 49,843,688,049/152,303
  6. Step 6: Final answer
    x = 327,266.62

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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.