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Finding the Third Proportional to 233,786 and 341,931

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Solution

The third proportional to 233,786 and 341,931 is: 500,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,786 : 341,931 = 341,931 : x
  2. Step 2: Convert to fraction form
    233,786/341,931 = 341,931/x
  3. Step 3: Cross multiply
    233,786x = 341,931 × 341,931
  4. Step 4: Simplify right side
    233,786x = 116,916,808,761
  5. Step 5: Solve for x
    x = 116,916,808,761/233,786
  6. Step 6: Final answer
    x = 500,101.84

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