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Finding the Third Proportional to 139,905 and 305,421.19

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Solution

The third proportional to 139,905 and 305,421.19 is: 666,753.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,905 : 305,421.19 = 305,421.19 : x
  2. Step 2: Convert to fraction form
    139,905/305,421.19 = 305,421.19/x
  3. Step 3: Cross multiply
    139,905x = 305,421.19 × 305,421.19
  4. Step 4: Simplify right side
    139,905x = 93,282,101,773.91
  5. Step 5: Solve for x
    x = 93,282,101,773.91/139,905
  6. Step 6: Final answer
    x = 666,753.17

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Why These Related Problems?

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