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Finding the Third Proportional to 145,762 and 318,524

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Solution

The third proportional to 145,762 and 318,524 is: 696,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,762 : 318,524 = 318,524 : x
  2. Step 2: Convert to fraction form
    145,762/318,524 = 318,524/x
  3. Step 3: Cross multiply
    145,762x = 318,524 × 318,524
  4. Step 4: Simplify right side
    145,762x = 101,457,538,576
  5. Step 5: Solve for x
    x = 101,457,538,576/145,762
  6. Step 6: Final answer
    x = 696,049.30

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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.