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Finding the Third Proportional to 167,461 and 361,160

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Solution

The third proportional to 167,461 and 361,160 is: 778,907.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,461 : 361,160 = 361,160 : x
  2. Step 2: Convert to fraction form
    167,461/361,160 = 361,160/x
  3. Step 3: Cross multiply
    167,461x = 361,160 × 361,160
  4. Step 4: Simplify right side
    167,461x = 130,436,545,600
  5. Step 5: Solve for x
    x = 130,436,545,600/167,461
  6. Step 6: Final answer
    x = 778,907.00

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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.