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Finding the Third Proportional to 237,118.50 and 346,803

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Solution

The third proportional to 237,118.50 and 346,803 is: 507,224.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,118.50 : 346,803 = 346,803 : x
  2. Step 2: Convert to fraction form
    237,118.50/346,803 = 346,803/x
  3. Step 3: Cross multiply
    237,118.50x = 346,803 × 346,803
  4. Step 4: Simplify right side
    237,118.50x = 120,272,320,809
  5. Step 5: Solve for x
    x = 120,272,320,809/237,118.50
  6. Step 6: Final answer
    x = 507,224.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.