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Finding the Third Proportional to 160,254 and 346,212

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Solution

The third proportional to 160,254 and 346,212 is: 747,954.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,254 : 346,212 = 346,212 : x
  2. Step 2: Convert to fraction form
    160,254/346,212 = 346,212/x
  3. Step 3: Cross multiply
    160,254x = 346,212 × 346,212
  4. Step 4: Simplify right side
    160,254x = 119,862,748,944
  5. Step 5: Solve for x
    x = 119,862,748,944/160,254
  6. Step 6: Final answer
    x = 747,954.80

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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.