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Finding the Third Proportional to 164,025 and 358,911

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Solution

The third proportional to 164,025 and 358,911 is: 785,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,025 : 358,911 = 358,911 : x
  2. Step 2: Convert to fraction form
    164,025/358,911 = 358,911/x
  3. Step 3: Cross multiply
    164,025x = 358,911 × 358,911
  4. Step 4: Simplify right side
    164,025x = 128,817,105,921
  5. Step 5: Solve for x
    x = 128,817,105,921/164,025
  6. Step 6: Final answer
    x = 785,350.44

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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.