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Finding the Third Proportional to 242,900 and 522,088

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Solution

The third proportional to 242,900 and 522,088 is: 1,122,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,900 : 522,088 = 522,088 : x
  2. Step 2: Convert to fraction form
    242,900/522,088 = 522,088/x
  3. Step 3: Cross multiply
    242,900x = 522,088 × 522,088
  4. Step 4: Simplify right side
    242,900x = 272,575,879,744
  5. Step 5: Solve for x
    x = 272,575,879,744/242,900
  6. Step 6: Final answer
    x = 1,122,173.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.