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Finding the Third Proportional to 153,036.75 and 331,483.50

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Solution

The third proportional to 153,036.75 and 331,483.50 is: 718,006.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,036.75 : 331,483.50 = 331,483.50 : x
  2. Step 2: Convert to fraction form
    153,036.75/331,483.50 = 331,483.50/x
  3. Step 3: Cross multiply
    153,036.75x = 331,483.50 × 331,483.50
  4. Step 4: Simplify right side
    153,036.75x = 109,881,310,772.25
  5. Step 5: Solve for x
    x = 109,881,310,772.25/153,036.75
  6. Step 6: Final answer
    x = 718,006.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.