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Finding the Third Proportional to 147,906 and 211,487.63

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Solution

The third proportional to 147,906 and 211,487.63 is: 302,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,906 : 211,487.63 = 211,487.63 : x
  2. Step 2: Convert to fraction form
    147,906/211,487.63 = 211,487.63/x
  3. Step 3: Cross multiply
    147,906x = 211,487.63 × 211,487.63
  4. Step 4: Simplify right side
    147,906x = 44,727,015,528.14
  5. Step 5: Solve for x
    x = 44,727,015,528.14/147,906
  6. Step 6: Final answer
    x = 302,401.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.