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Finding the Third Proportional to 167,528 and 361,298.50

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Solution

The third proportional to 167,528 and 361,298.50 is: 779,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,528 : 361,298.50 = 361,298.50 : x
  2. Step 2: Convert to fraction form
    167,528/361,298.50 = 361,298.50/x
  3. Step 3: Cross multiply
    167,528x = 361,298.50 × 361,298.50
  4. Step 4: Simplify right side
    167,528x = 130,536,606,102.25
  5. Step 5: Solve for x
    x = 130,536,606,102.25/167,528
  6. Step 6: Final answer
    x = 779,192.77

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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.