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Finding the Third Proportional to 162,240 and 376,928

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Solution

The third proportional to 162,240 and 376,928 is: 875,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,240 : 376,928 = 376,928 : x
  2. Step 2: Convert to fraction form
    162,240/376,928 = 376,928/x
  3. Step 3: Cross multiply
    162,240x = 376,928 × 376,928
  4. Step 4: Simplify right side
    162,240x = 142,074,717,184
  5. Step 5: Solve for x
    x = 142,074,717,184/162,240
  6. Step 6: Final answer
    x = 875,707.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.