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Finding the Third Proportional to 261,639 and 355,082

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Solution

The third proportional to 261,639 and 355,082 is: 481,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,639 : 355,082 = 355,082 : x
  2. Step 2: Convert to fraction form
    261,639/355,082 = 355,082/x
  3. Step 3: Cross multiply
    261,639x = 355,082 × 355,082
  4. Step 4: Simplify right side
    261,639x = 126,083,226,724
  5. Step 5: Solve for x
    x = 126,083,226,724/261,639
  6. Step 6: Final answer
    x = 481,897.68

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.