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Finding the Third Proportional to 216,176.34 and 343,510.24

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Solution

The third proportional to 216,176.34 and 343,510.24 is: 545,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,176.34 : 343,510.24 = 343,510.24 : x
  2. Step 2: Convert to fraction form
    216,176.34/343,510.24 = 343,510.24/x
  3. Step 3: Cross multiply
    216,176.34x = 343,510.24 × 343,510.24
  4. Step 4: Simplify right side
    216,176.34x = 117,999,286,487.72
  5. Step 5: Solve for x
    x = 117,999,286,487.72/216,176.34
  6. Step 6: Final answer
    x = 545,847.36

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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.