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Finding the Third Proportional to 145,588 and 316,816

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Solution

The third proportional to 145,588 and 316,816 is: 689,427.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,588 : 316,816 = 316,816 : x
  2. Step 2: Convert to fraction form
    145,588/316,816 = 316,816/x
  3. Step 3: Cross multiply
    145,588x = 316,816 × 316,816
  4. Step 4: Simplify right side
    145,588x = 100,372,377,856
  5. Step 5: Solve for x
    x = 100,372,377,856/145,588
  6. Step 6: Final answer
    x = 689,427.55

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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.