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Finding the Third Proportional to 155,315.81 and 335,098.69

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Solution

The third proportional to 155,315.81 and 335,098.69 is: 722,985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,315.81 : 335,098.69 = 335,098.69 : x
  2. Step 2: Convert to fraction form
    155,315.81/335,098.69 = 335,098.69/x
  3. Step 3: Cross multiply
    155,315.81x = 335,098.69 × 335,098.69
  4. Step 4: Simplify right side
    155,315.81x = 112,291,130,364.22
  5. Step 5: Solve for x
    x = 112,291,130,364.22/155,315.81
  6. Step 6: Final answer
    x = 722,985.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.