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Finding the Third Proportional to 152,215 and 241,014

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Solution

The third proportional to 152,215 and 241,014 is: 381,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,215 : 241,014 = 241,014 : x
  2. Step 2: Convert to fraction form
    152,215/241,014 = 241,014/x
  3. Step 3: Cross multiply
    152,215x = 241,014 × 241,014
  4. Step 4: Simplify right side
    152,215x = 58,087,748,196
  5. Step 5: Solve for x
    x = 58,087,748,196/152,215
  6. Step 6: Final answer
    x = 381,616.45

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.