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Finding the Third Proportional to 164,472 and 360,354

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Solution

The third proportional to 164,472 and 360,354 is: 789,526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,472 : 360,354 = 360,354 : x
  2. Step 2: Convert to fraction form
    164,472/360,354 = 360,354/x
  3. Step 3: Cross multiply
    164,472x = 360,354 × 360,354
  4. Step 4: Simplify right side
    164,472x = 129,855,005,316
  5. Step 5: Solve for x
    x = 129,855,005,316/164,472
  6. Step 6: Final answer
    x = 789,526.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.