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Finding the Third Proportional to 164,484 and 341,894

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Solution

The third proportional to 164,484 and 341,894 is: 710,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484 : 341,894 = 341,894 : x
  2. Step 2: Convert to fraction form
    164,484/341,894 = 341,894/x
  3. Step 3: Cross multiply
    164,484x = 341,894 × 341,894
  4. Step 4: Simplify right side
    164,484x = 116,891,507,236
  5. Step 5: Solve for x
    x = 116,891,507,236/164,484
  6. Step 6: Final answer
    x = 710,655.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.