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Finding the Third Proportional to 232,710.75 and 373,365

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Solution

The third proportional to 232,710.75 and 373,365 is: 599,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,710.75 : 373,365 = 373,365 : x
  2. Step 2: Convert to fraction form
    232,710.75/373,365 = 373,365/x
  3. Step 3: Cross multiply
    232,710.75x = 373,365 × 373,365
  4. Step 4: Simplify right side
    232,710.75x = 139,401,423,225
  5. Step 5: Solve for x
    x = 139,401,423,225/232,710.75
  6. Step 6: Final answer
    x = 599,033.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.