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Finding the Third Proportional to 140,046 and 307,303.50

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Solution

The third proportional to 140,046 and 307,303.50 is: 674,317.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,046 : 307,303.50 = 307,303.50 : x
  2. Step 2: Convert to fraction form
    140,046/307,303.50 = 307,303.50/x
  3. Step 3: Cross multiply
    140,046x = 307,303.50 × 307,303.50
  4. Step 4: Simplify right side
    140,046x = 94,435,441,112.25
  5. Step 5: Solve for x
    x = 94,435,441,112.25/140,046
  6. Step 6: Final answer
    x = 674,317.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.