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Finding the Third Proportional to 143,114.63 and 210,493.69

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Solution

The third proportional to 143,114.63 and 210,493.69 is: 309,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,114.63 : 210,493.69 = 210,493.69 : x
  2. Step 2: Convert to fraction form
    143,114.63/210,493.69 = 210,493.69/x
  3. Step 3: Cross multiply
    143,114.63x = 210,493.69 × 210,493.69
  4. Step 4: Simplify right side
    143,114.63x = 44,307,592,477.35
  5. Step 5: Solve for x
    x = 44,307,592,477.35/143,114.63
  6. Step 6: Final answer
    x = 309,595.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.