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Finding the Third Proportional to 216,368 and 472,102

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Solution

The third proportional to 216,368 and 472,102 is: 1,030,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,368 : 472,102 = 472,102 : x
  2. Step 2: Convert to fraction form
    216,368/472,102 = 472,102/x
  3. Step 3: Cross multiply
    216,368x = 472,102 × 472,102
  4. Step 4: Simplify right side
    216,368x = 222,880,298,404
  5. Step 5: Solve for x
    x = 222,880,298,404/216,368
  6. Step 6: Final answer
    x = 1,030,098.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.