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Finding the Third Proportional to 138,465 and 207,466.50

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Solution

The third proportional to 138,465 and 207,466.50 is: 310,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,465 : 207,466.50 = 207,466.50 : x
  2. Step 2: Convert to fraction form
    138,465/207,466.50 = 207,466.50/x
  3. Step 3: Cross multiply
    138,465x = 207,466.50 × 207,466.50
  4. Step 4: Simplify right side
    138,465x = 43,042,348,622.25
  5. Step 5: Solve for x
    x = 43,042,348,622.25/138,465
  6. Step 6: Final answer
    x = 310,853.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.