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Finding the Third Proportional to 165,273 and 358,014

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Solution

The third proportional to 165,273 and 358,014 is: 775,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,273 : 358,014 = 358,014 : x
  2. Step 2: Convert to fraction form
    165,273/358,014 = 358,014/x
  3. Step 3: Cross multiply
    165,273x = 358,014 × 358,014
  4. Step 4: Simplify right side
    165,273x = 128,174,024,196
  5. Step 5: Solve for x
    x = 128,174,024,196/165,273
  6. Step 6: Final answer
    x = 775,529.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.