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Finding the Third Proportional to 163,765.13 and 358,079.06

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Solution

The third proportional to 163,765.13 and 358,079.06 is: 782,954.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,765.13 : 358,079.06 = 358,079.06 : x
  2. Step 2: Convert to fraction form
    163,765.13/358,079.06 = 358,079.06/x
  3. Step 3: Cross multiply
    163,765.13x = 358,079.06 × 358,079.06
  4. Step 4: Simplify right side
    163,765.13x = 128,220,615,000.88
  5. Step 5: Solve for x
    x = 128,220,615,000.88/163,765.13
  6. Step 6: Final answer
    x = 782,954.34

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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.