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Finding the Third Proportional to 148,116 and 211,658

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Solution

The third proportional to 148,116 and 211,658 is: 302,459.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,116 : 211,658 = 211,658 : x
  2. Step 2: Convert to fraction form
    148,116/211,658 = 211,658/x
  3. Step 3: Cross multiply
    148,116x = 211,658 × 211,658
  4. Step 4: Simplify right side
    148,116x = 44,799,108,964
  5. Step 5: Solve for x
    x = 44,799,108,964/148,116
  6. Step 6: Final answer
    x = 302,459.62

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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.