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Finding the Third Proportional to 139,402 and 301,076

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Solution

The third proportional to 139,402 and 301,076 is: 650,254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,402 : 301,076 = 301,076 : x
  2. Step 2: Convert to fraction form
    139,402/301,076 = 301,076/x
  3. Step 3: Cross multiply
    139,402x = 301,076 × 301,076
  4. Step 4: Simplify right side
    139,402x = 90,646,757,776
  5. Step 5: Solve for x
    x = 90,646,757,776/139,402
  6. Step 6: Final answer
    x = 650,254.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.