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Finding the Third Proportional to 145,800 and 315,808

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Solution

The third proportional to 145,800 and 315,808 is: 684,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,800 : 315,808 = 315,808 : x
  2. Step 2: Convert to fraction form
    145,800/315,808 = 315,808/x
  3. Step 3: Cross multiply
    145,800x = 315,808 × 315,808
  4. Step 4: Simplify right side
    145,800x = 99,734,692,864
  5. Step 5: Solve for x
    x = 99,734,692,864/145,800
  6. Step 6: Final answer
    x = 684,051.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.