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Finding the Third Proportional to 140,310 and 307,784

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Solution

The third proportional to 140,310 and 307,784 is: 675,154.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,310 : 307,784 = 307,784 : x
  2. Step 2: Convert to fraction form
    140,310/307,784 = 307,784/x
  3. Step 3: Cross multiply
    140,310x = 307,784 × 307,784
  4. Step 4: Simplify right side
    140,310x = 94,730,990,656
  5. Step 5: Solve for x
    x = 94,730,990,656/140,310
  6. Step 6: Final answer
    x = 675,154.95

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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.