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Finding the Third Proportional to 233,307 and 328,771.50

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Solution

The third proportional to 233,307 and 328,771.50 is: 463,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,307 : 328,771.50 = 328,771.50 : x
  2. Step 2: Convert to fraction form
    233,307/328,771.50 = 328,771.50/x
  3. Step 3: Cross multiply
    233,307x = 328,771.50 × 328,771.50
  4. Step 4: Simplify right side
    233,307x = 108,090,699,212.25
  5. Step 5: Solve for x
    x = 108,090,699,212.25/233,307
  6. Step 6: Final answer
    x = 463,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.