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Finding the Third Proportional to 233,295 and 361,931

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Solution

The third proportional to 233,295 and 361,931 is: 561,495.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,295 : 361,931 = 361,931 : x
  2. Step 2: Convert to fraction form
    233,295/361,931 = 361,931/x
  3. Step 3: Cross multiply
    233,295x = 361,931 × 361,931
  4. Step 4: Simplify right side
    233,295x = 130,994,048,761
  5. Step 5: Solve for x
    x = 130,994,048,761/233,295
  6. Step 6: Final answer
    x = 561,495.31

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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.