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Finding the Third Proportional to 164,303.44 and 359,019.84

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Solution

The third proportional to 164,303.44 and 359,019.84 is: 784,495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,303.44 : 359,019.84 = 359,019.84 : x
  2. Step 2: Convert to fraction form
    164,303.44/359,019.84 = 359,019.84/x
  3. Step 3: Cross multiply
    164,303.44x = 359,019.84 × 359,019.84
  4. Step 4: Simplify right side
    164,303.44x = 128,895,248,206.27
  5. Step 5: Solve for x
    x = 128,895,248,206.27/164,303.44
  6. Step 6: Final answer
    x = 784,495.14

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Why These Related Problems?

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