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Finding the Third Proportional to 165,807 and 358,101

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Solution

The third proportional to 165,807 and 358,101 is: 773,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,807 : 358,101 = 358,101 : x
  2. Step 2: Convert to fraction form
    165,807/358,101 = 358,101/x
  3. Step 3: Cross multiply
    165,807x = 358,101 × 358,101
  4. Step 4: Simplify right side
    165,807x = 128,236,326,201
  5. Step 5: Solve for x
    x = 128,236,326,201/165,807
  6. Step 6: Final answer
    x = 773,407.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.