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Finding the Third Proportional to 124,384.50 and 197,273

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Solution

The third proportional to 124,384.50 and 197,273 is: 312,873.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,384.50 : 197,273 = 197,273 : x
  2. Step 2: Convert to fraction form
    124,384.50/197,273 = 197,273/x
  3. Step 3: Cross multiply
    124,384.50x = 197,273 × 197,273
  4. Step 4: Simplify right side
    124,384.50x = 38,916,636,529
  5. Step 5: Solve for x
    x = 38,916,636,529/124,384.50
  6. Step 6: Final answer
    x = 312,873.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.