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Finding the Third Proportional to 108,465 and 234,477

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Solution

The third proportional to 108,465 and 234,477 is: 506,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,465 : 234,477 = 234,477 : x
  2. Step 2: Convert to fraction form
    108,465/234,477 = 234,477/x
  3. Step 3: Cross multiply
    108,465x = 234,477 × 234,477
  4. Step 4: Simplify right side
    108,465x = 54,979,463,529
  5. Step 5: Solve for x
    x = 54,979,463,529/108,465
  6. Step 6: Final answer
    x = 506,886.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.