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Finding the Third Proportional to 136,477.41 and 297,730.69

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Solution

The third proportional to 136,477.41 and 297,730.69 is: 649,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,477.41 : 297,730.69 = 297,730.69 : x
  2. Step 2: Convert to fraction form
    136,477.41/297,730.69 = 297,730.69/x
  3. Step 3: Cross multiply
    136,477.41x = 297,730.69 × 297,730.69
  4. Step 4: Simplify right side
    136,477.41x = 88,643,562,279.22
  5. Step 5: Solve for x
    x = 88,643,562,279.22/136,477.41
  6. Step 6: Final answer
    x = 649,510.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.