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Finding the Third Proportional to 70,464 and 150,928

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Solution

The third proportional to 70,464 and 150,928 is: 323,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,464 : 150,928 = 150,928 : x
  2. Step 2: Convert to fraction form
    70,464/150,928 = 150,928/x
  3. Step 3: Cross multiply
    70,464x = 150,928 × 150,928
  4. Step 4: Simplify right side
    70,464x = 22,779,261,184
  5. Step 5: Solve for x
    x = 22,779,261,184/70,464
  6. Step 6: Final answer
    x = 323,275.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.