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Finding the Third Proportional to 153,388.50 and 328,101

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Solution

The third proportional to 153,388.50 and 328,101 is: 701,814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,388.50 : 328,101 = 328,101 : x
  2. Step 2: Convert to fraction form
    153,388.50/328,101 = 328,101/x
  3. Step 3: Cross multiply
    153,388.50x = 328,101 × 328,101
  4. Step 4: Simplify right side
    153,388.50x = 107,650,266,201
  5. Step 5: Solve for x
    x = 107,650,266,201/153,388.50
  6. Step 6: Final answer
    x = 701,814.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.