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Finding the Third Proportional to 145,614 and 311,468

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Solution

The third proportional to 145,614 and 311,468 is: 666,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,614 : 311,468 = 311,468 : x
  2. Step 2: Convert to fraction form
    145,614/311,468 = 311,468/x
  3. Step 3: Cross multiply
    145,614x = 311,468 × 311,468
  4. Step 4: Simplify right side
    145,614x = 97,012,315,024
  5. Step 5: Solve for x
    x = 97,012,315,024/145,614
  6. Step 6: Final answer
    x = 666,229.31

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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.