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Finding the Third Proportional to 163,722.66 and 357,881.06

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Solution

The third proportional to 163,722.66 and 357,881.06 is: 782,291.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,722.66 : 357,881.06 = 357,881.06 : x
  2. Step 2: Convert to fraction form
    163,722.66/357,881.06 = 357,881.06/x
  3. Step 3: Cross multiply
    163,722.66x = 357,881.06 × 357,881.06
  4. Step 4: Simplify right side
    163,722.66x = 128,078,854,896.13
  5. Step 5: Solve for x
    x = 128,078,854,896.13/163,722.66
  6. Step 6: Final answer
    x = 782,291.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.