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Finding the Third Proportional to 167,010 and 294,342

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Solution

The third proportional to 167,010 and 294,342 is: 518,754.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,010 : 294,342 = 294,342 : x
  2. Step 2: Convert to fraction form
    167,010/294,342 = 294,342/x
  3. Step 3: Cross multiply
    167,010x = 294,342 × 294,342
  4. Step 4: Simplify right side
    167,010x = 86,637,212,964
  5. Step 5: Solve for x
    x = 86,637,212,964/167,010
  6. Step 6: Final answer
    x = 518,754.64

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.