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Finding the Third Proportional to 137,875.50 and 221,211

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Solution

The third proportional to 137,875.50 and 221,211 is: 354,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,875.50 : 221,211 = 221,211 : x
  2. Step 2: Convert to fraction form
    137,875.50/221,211 = 221,211/x
  3. Step 3: Cross multiply
    137,875.50x = 221,211 × 221,211
  4. Step 4: Simplify right side
    137,875.50x = 48,934,306,521
  5. Step 5: Solve for x
    x = 48,934,306,521/137,875.50
  6. Step 6: Final answer
    x = 354,916.62

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.