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Finding the Third Proportional to 147,078 and 311,490

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Solution

The third proportional to 147,078 and 311,490 is: 659,690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,078 : 311,490 = 311,490 : x
  2. Step 2: Convert to fraction form
    147,078/311,490 = 311,490/x
  3. Step 3: Cross multiply
    147,078x = 311,490 × 311,490
  4. Step 4: Simplify right side
    147,078x = 97,026,020,100
  5. Step 5: Solve for x
    x = 97,026,020,100/147,078
  6. Step 6: Final answer
    x = 659,690.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.