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Finding the Third Proportional to 145,857 and 186,358.50

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Solution

The third proportional to 145,857 and 186,358.50 is: 238,106.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,857 : 186,358.50 = 186,358.50 : x
  2. Step 2: Convert to fraction form
    145,857/186,358.50 = 186,358.50/x
  3. Step 3: Cross multiply
    145,857x = 186,358.50 × 186,358.50
  4. Step 4: Simplify right side
    145,857x = 34,729,490,522.25
  5. Step 5: Solve for x
    x = 34,729,490,522.25/145,857
  6. Step 6: Final answer
    x = 238,106.44

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.