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Finding the Third Proportional to 232,334 and 341,693

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Solution

The third proportional to 232,334 and 341,693 is: 502,526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,334 : 341,693 = 341,693 : x
  2. Step 2: Convert to fraction form
    232,334/341,693 = 341,693/x
  3. Step 3: Cross multiply
    232,334x = 341,693 × 341,693
  4. Step 4: Simplify right side
    232,334x = 116,754,106,249
  5. Step 5: Solve for x
    x = 116,754,106,249/232,334
  6. Step 6: Final answer
    x = 502,526.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.