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Finding the Third Proportional to 152,356 and 238,254

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Solution

The third proportional to 152,356 and 238,254 is: 372,581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,356 : 238,254 = 238,254 : x
  2. Step 2: Convert to fraction form
    152,356/238,254 = 238,254/x
  3. Step 3: Cross multiply
    152,356x = 238,254 × 238,254
  4. Step 4: Simplify right side
    152,356x = 56,764,968,516
  5. Step 5: Solve for x
    x = 56,764,968,516/152,356
  6. Step 6: Final answer
    x = 372,581.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.