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Finding the Third Proportional to 139,026 and 303,537

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Solution

The third proportional to 139,026 and 303,537 is: 662,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,026 : 303,537 = 303,537 : x
  2. Step 2: Convert to fraction form
    139,026/303,537 = 303,537/x
  3. Step 3: Cross multiply
    139,026x = 303,537 × 303,537
  4. Step 4: Simplify right side
    139,026x = 92,134,710,369
  5. Step 5: Solve for x
    x = 92,134,710,369/139,026
  6. Step 6: Final answer
    x = 662,715.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.