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Finding the Third Proportional to 143,044 and 314,095

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Solution

The third proportional to 143,044 and 314,095 is: 689,687.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,044 : 314,095 = 314,095 : x
  2. Step 2: Convert to fraction form
    143,044/314,095 = 314,095/x
  3. Step 3: Cross multiply
    143,044x = 314,095 × 314,095
  4. Step 4: Simplify right side
    143,044x = 98,655,669,025
  5. Step 5: Solve for x
    x = 98,655,669,025/143,044
  6. Step 6: Final answer
    x = 689,687.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.