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Finding the Third Proportional to 139,369 and 210,359

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Solution

The third proportional to 139,369 and 210,359 is: 317,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,369 : 210,359 = 210,359 : x
  2. Step 2: Convert to fraction form
    139,369/210,359 = 210,359/x
  3. Step 3: Cross multiply
    139,369x = 210,359 × 210,359
  4. Step 4: Simplify right side
    139,369x = 44,250,908,881
  5. Step 5: Solve for x
    x = 44,250,908,881/139,369
  6. Step 6: Final answer
    x = 317,508.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.