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Finding the Third Proportional to 145,864 and 301,838

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Solution

The third proportional to 145,864 and 301,838 is: 624,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,864 : 301,838 = 301,838 : x
  2. Step 2: Convert to fraction form
    145,864/301,838 = 301,838/x
  3. Step 3: Cross multiply
    145,864x = 301,838 × 301,838
  4. Step 4: Simplify right side
    145,864x = 91,106,178,244
  5. Step 5: Solve for x
    x = 91,106,178,244/145,864
  6. Step 6: Final answer
    x = 624,596.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.