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Finding the Third Proportional to 145,638 and 316,896

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Solution

The third proportional to 145,638 and 316,896 is: 689,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,638 : 316,896 = 316,896 : x
  2. Step 2: Convert to fraction form
    145,638/316,896 = 316,896/x
  3. Step 3: Cross multiply
    145,638x = 316,896 × 316,896
  4. Step 4: Simplify right side
    145,638x = 100,423,074,816
  5. Step 5: Solve for x
    x = 100,423,074,816/145,638
  6. Step 6: Final answer
    x = 689,538.96

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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.