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Finding the Third Proportional to 139,402 and 296,786

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Solution

The third proportional to 139,402 and 296,786 is: 631,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,402 : 296,786 = 296,786 : x
  2. Step 2: Convert to fraction form
    139,402/296,786 = 296,786/x
  3. Step 3: Cross multiply
    139,402x = 296,786 × 296,786
  4. Step 4: Simplify right side
    139,402x = 88,081,929,796
  5. Step 5: Solve for x
    x = 88,081,929,796/139,402
  6. Step 6: Final answer
    x = 631,855.57

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.