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Finding the Third Proportional to 154,070 and 323,044

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Solution

The third proportional to 154,070 and 323,044 is: 677,337.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,070 : 323,044 = 323,044 : x
  2. Step 2: Convert to fraction form
    154,070/323,044 = 323,044/x
  3. Step 3: Cross multiply
    154,070x = 323,044 × 323,044
  4. Step 4: Simplify right side
    154,070x = 104,357,425,936
  5. Step 5: Solve for x
    x = 104,357,425,936/154,070
  6. Step 6: Final answer
    x = 677,337.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.