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Finding the Third Proportional to 216,594 and 323,095.50

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Solution

The third proportional to 216,594 and 323,095.50 is: 481,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,594 : 323,095.50 = 323,095.50 : x
  2. Step 2: Convert to fraction form
    216,594/323,095.50 = 323,095.50/x
  3. Step 3: Cross multiply
    216,594x = 323,095.50 × 323,095.50
  4. Step 4: Simplify right side
    216,594x = 104,390,702,120.25
  5. Step 5: Solve for x
    x = 104,390,702,120.25/216,594
  6. Step 6: Final answer
    x = 481,964.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.