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Finding the Third Proportional to 237,905 and 347,363

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Solution

The third proportional to 237,905 and 347,363 is: 507,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,905 : 347,363 = 347,363 : x
  2. Step 2: Convert to fraction form
    237,905/347,363 = 347,363/x
  3. Step 3: Cross multiply
    237,905x = 347,363 × 347,363
  4. Step 4: Simplify right side
    237,905x = 120,661,053,769
  5. Step 5: Solve for x
    x = 120,661,053,769/237,905
  6. Step 6: Final answer
    x = 507,181.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.