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Finding the Third Proportional to 154,984 and 238,332

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Solution

The third proportional to 154,984 and 238,332 is: 366,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,984 : 238,332 = 238,332 : x
  2. Step 2: Convert to fraction form
    154,984/238,332 = 238,332/x
  3. Step 3: Cross multiply
    154,984x = 238,332 × 238,332
  4. Step 4: Simplify right side
    154,984x = 56,802,142,224
  5. Step 5: Solve for x
    x = 56,802,142,224/154,984
  6. Step 6: Final answer
    x = 366,503.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.