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Finding the Third Proportional to 153,338.06 and 312,908.06

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Solution

The third proportional to 153,338.06 and 312,908.06 is: 638,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,338.06 : 312,908.06 = 312,908.06 : x
  2. Step 2: Convert to fraction form
    153,338.06/312,908.06 = 312,908.06/x
  3. Step 3: Cross multiply
    153,338.06x = 312,908.06 × 312,908.06
  4. Step 4: Simplify right side
    153,338.06x = 97,911,455,577.50
  5. Step 5: Solve for x
    x = 97,911,455,577.50/153,338.06
  6. Step 6: Final answer
    x = 638,533.28

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.