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Finding the Third Proportional to 242,566 and 347,345

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Solution

The third proportional to 242,566 and 347,345 is: 497,384.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,566 : 347,345 = 347,345 : x
  2. Step 2: Convert to fraction form
    242,566/347,345 = 347,345/x
  3. Step 3: Cross multiply
    242,566x = 347,345 × 347,345
  4. Step 4: Simplify right side
    242,566x = 120,648,549,025
  5. Step 5: Solve for x
    x = 120,648,549,025/242,566
  6. Step 6: Final answer
    x = 497,384.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.