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Finding the Third Proportional to 162,339.75 and 221,153.63

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Solution

The third proportional to 162,339.75 and 221,153.63 is: 301,275.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,339.75 : 221,153.63 = 221,153.63 : x
  2. Step 2: Convert to fraction form
    162,339.75/221,153.63 = 221,153.63/x
  3. Step 3: Cross multiply
    162,339.75x = 221,153.63 × 221,153.63
  4. Step 4: Simplify right side
    162,339.75x = 48,908,925,850.64
  5. Step 5: Solve for x
    x = 48,908,925,850.64/162,339.75
  6. Step 6: Final answer
    x = 301,275.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.