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Finding the Third Proportional to 147,064.50 and 322,164

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Solution

The third proportional to 147,064.50 and 322,164 is: 705,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,064.50 : 322,164 = 322,164 : x
  2. Step 2: Convert to fraction form
    147,064.50/322,164 = 322,164/x
  3. Step 3: Cross multiply
    147,064.50x = 322,164 × 322,164
  4. Step 4: Simplify right side
    147,064.50x = 103,789,642,896
  5. Step 5: Solve for x
    x = 103,789,642,896/147,064.50
  6. Step 6: Final answer
    x = 705,742.33

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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.