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Finding the Third Proportional to 159,410 and 349,780

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Solution

The third proportional to 159,410 and 349,780 is: 767,492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,410 : 349,780 = 349,780 : x
  2. Step 2: Convert to fraction form
    159,410/349,780 = 349,780/x
  3. Step 3: Cross multiply
    159,410x = 349,780 × 349,780
  4. Step 4: Simplify right side
    159,410x = 122,346,048,400
  5. Step 5: Solve for x
    x = 122,346,048,400/159,410
  6. Step 6: Final answer
    x = 767,492.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.