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Finding the Third Proportional to 155,584.13 and 240,284.81

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Solution

The third proportional to 155,584.13 and 240,284.81 is: 371,096.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,584.13 : 240,284.81 = 240,284.81 : x
  2. Step 2: Convert to fraction form
    155,584.13/240,284.81 = 240,284.81/x
  3. Step 3: Cross multiply
    155,584.13x = 240,284.81 × 240,284.81
  4. Step 4: Simplify right side
    155,584.13x = 57,736,791,118.16
  5. Step 5: Solve for x
    x = 57,736,791,118.16/155,584.13
  6. Step 6: Final answer
    x = 371,096.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.