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Finding the Third Proportional to 141,854 and 307,346

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Solution

The third proportional to 141,854 and 307,346 is: 665,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,854 : 307,346 = 307,346 : x
  2. Step 2: Convert to fraction form
    141,854/307,346 = 307,346/x
  3. Step 3: Cross multiply
    141,854x = 307,346 × 307,346
  4. Step 4: Simplify right side
    141,854x = 94,461,563,716
  5. Step 5: Solve for x
    x = 94,461,563,716/141,854
  6. Step 6: Final answer
    x = 665,906.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.