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Finding the Third Proportional to 94,584 and 207,595

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Solution

The third proportional to 94,584 and 207,595 is: 455,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,584 : 207,595 = 207,595 : x
  2. Step 2: Convert to fraction form
    94,584/207,595 = 207,595/x
  3. Step 3: Cross multiply
    94,584x = 207,595 × 207,595
  4. Step 4: Simplify right side
    94,584x = 43,095,684,025
  5. Step 5: Solve for x
    x = 43,095,684,025/94,584
  6. Step 6: Final answer
    x = 455,633.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.