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Finding the Third Proportional to 164,073 and 358,513

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Solution

The third proportional to 164,073 and 358,513 is: 783,380.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,073 : 358,513 = 358,513 : x
  2. Step 2: Convert to fraction form
    164,073/358,513 = 358,513/x
  3. Step 3: Cross multiply
    164,073x = 358,513 × 358,513
  4. Step 4: Simplify right side
    164,073x = 128,531,571,169
  5. Step 5: Solve for x
    x = 128,531,571,169/164,073
  6. Step 6: Final answer
    x = 783,380.39

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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.