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Finding the Third Proportional to 145,166 and 311,068

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Solution

The third proportional to 145,166 and 311,068 is: 666,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,166 : 311,068 = 311,068 : x
  2. Step 2: Convert to fraction form
    145,166/311,068 = 311,068/x
  3. Step 3: Cross multiply
    145,166x = 311,068 × 311,068
  4. Step 4: Simplify right side
    145,166x = 96,763,300,624
  5. Step 5: Solve for x
    x = 96,763,300,624/145,166
  6. Step 6: Final answer
    x = 666,570.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.