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Finding the Third Proportional to 233,998 and 342,222

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Solution

The third proportional to 233,998 and 342,222 is: 500,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,998 : 342,222 = 342,222 : x
  2. Step 2: Convert to fraction form
    233,998/342,222 = 342,222/x
  3. Step 3: Cross multiply
    233,998x = 342,222 × 342,222
  4. Step 4: Simplify right side
    233,998x = 117,115,897,284
  5. Step 5: Solve for x
    x = 117,115,897,284/233,998
  6. Step 6: Final answer
    x = 500,499.57

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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.