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Finding the Third Proportional to 138,303 and 301,630.50

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Solution

The third proportional to 138,303 and 301,630.50 is: 657,837.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,303 : 301,630.50 = 301,630.50 : x
  2. Step 2: Convert to fraction form
    138,303/301,630.50 = 301,630.50/x
  3. Step 3: Cross multiply
    138,303x = 301,630.50 × 301,630.50
  4. Step 4: Simplify right side
    138,303x = 90,980,958,530.25
  5. Step 5: Solve for x
    x = 90,980,958,530.25/138,303
  6. Step 6: Final answer
    x = 657,837.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.