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Finding the Third Proportional to 164,025 and 358,686

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Solution

The third proportional to 164,025 and 358,686 is: 784,366.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,025 : 358,686 = 358,686 : x
  2. Step 2: Convert to fraction form
    164,025/358,686 = 358,686/x
  3. Step 3: Cross multiply
    164,025x = 358,686 × 358,686
  4. Step 4: Simplify right side
    164,025x = 128,655,646,596
  5. Step 5: Solve for x
    x = 128,655,646,596/164,025
  6. Step 6: Final answer
    x = 784,366.08

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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.