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Finding the Third Proportional to 143,316.84 and 307,341.84

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Solution

The third proportional to 143,316.84 and 307,341.84 is: 659,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,316.84 : 307,341.84 = 307,341.84 : x
  2. Step 2: Convert to fraction form
    143,316.84/307,341.84 = 307,341.84/x
  3. Step 3: Cross multiply
    143,316.84x = 307,341.84 × 307,341.84
  4. Step 4: Simplify right side
    143,316.84x = 94,459,008,919.65
  5. Step 5: Solve for x
    x = 94,459,008,919.65/143,316.84
  6. Step 6: Final answer
    x = 659,092.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.