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Finding the Third Proportional to 141,410 and 308,068

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Solution

The third proportional to 141,410 and 308,068 is: 671,139.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,410 : 308,068 = 308,068 : x
  2. Step 2: Convert to fraction form
    141,410/308,068 = 308,068/x
  3. Step 3: Cross multiply
    141,410x = 308,068 × 308,068
  4. Step 4: Simplify right side
    141,410x = 94,905,892,624
  5. Step 5: Solve for x
    x = 94,905,892,624/141,410
  6. Step 6: Final answer
    x = 671,139.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.