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Finding the Third Proportional to 167,020 and 294,362

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Solution

The third proportional to 167,020 and 294,362 is: 518,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,020 : 294,362 = 294,362 : x
  2. Step 2: Convert to fraction form
    167,020/294,362 = 294,362/x
  3. Step 3: Cross multiply
    167,020x = 294,362 × 294,362
  4. Step 4: Simplify right side
    167,020x = 86,648,987,044
  5. Step 5: Solve for x
    x = 86,648,987,044/167,020
  6. Step 6: Final answer
    x = 518,794.08

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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.