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Finding the Third Proportional to 148,068 and 216,573

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Solution

The third proportional to 148,068 and 216,573 is: 316,772.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,068 : 216,573 = 216,573 : x
  2. Step 2: Convert to fraction form
    148,068/216,573 = 216,573/x
  3. Step 3: Cross multiply
    148,068x = 216,573 × 216,573
  4. Step 4: Simplify right side
    148,068x = 46,903,864,329
  5. Step 5: Solve for x
    x = 46,903,864,329/148,068
  6. Step 6: Final answer
    x = 316,772.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.