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Finding the Third Proportional to 153,801.75 and 240,783

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Solution

The third proportional to 153,801.75 and 240,783 is: 376,955.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,801.75 : 240,783 = 240,783 : x
  2. Step 2: Convert to fraction form
    153,801.75/240,783 = 240,783/x
  3. Step 3: Cross multiply
    153,801.75x = 240,783 × 240,783
  4. Step 4: Simplify right side
    153,801.75x = 57,976,453,089
  5. Step 5: Solve for x
    x = 57,976,453,089/153,801.75
  6. Step 6: Final answer
    x = 376,955.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.