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Finding the Third Proportional to 163,368 and 263,184

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Solution

The third proportional to 163,368 and 263,184 is: 423,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,368 : 263,184 = 263,184 : x
  2. Step 2: Convert to fraction form
    163,368/263,184 = 263,184/x
  3. Step 3: Cross multiply
    163,368x = 263,184 × 263,184
  4. Step 4: Simplify right side
    163,368x = 69,265,817,856
  5. Step 5: Solve for x
    x = 69,265,817,856/163,368
  6. Step 6: Final answer
    x = 423,986.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.