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Finding the Third Proportional to 145,082 and 221,943

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Solution

The third proportional to 145,082 and 221,943 is: 339,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,082 : 221,943 = 221,943 : x
  2. Step 2: Convert to fraction form
    145,082/221,943 = 221,943/x
  3. Step 3: Cross multiply
    145,082x = 221,943 × 221,943
  4. Step 4: Simplify right side
    145,082x = 49,258,695,249
  5. Step 5: Solve for x
    x = 49,258,695,249/145,082
  6. Step 6: Final answer
    x = 339,523.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.