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Finding the Third Proportional to 240,666.75 and 374,162.63

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Solution

The third proportional to 240,666.75 and 374,162.63 is: 581,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,666.75 : 374,162.63 = 374,162.63 : x
  2. Step 2: Convert to fraction form
    240,666.75/374,162.63 = 374,162.63/x
  3. Step 3: Cross multiply
    240,666.75x = 374,162.63 × 374,162.63
  4. Step 4: Simplify right side
    240,666.75x = 139,997,669,946.89
  5. Step 5: Solve for x
    x = 139,997,669,946.89/240,666.75
  6. Step 6: Final answer
    x = 581,707.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.