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Finding the Third Proportional to 165,308 and 245,528

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Solution

The third proportional to 165,308 and 245,528 is: 364,676.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,308 : 245,528 = 245,528 : x
  2. Step 2: Convert to fraction form
    165,308/245,528 = 245,528/x
  3. Step 3: Cross multiply
    165,308x = 245,528 × 245,528
  4. Step 4: Simplify right side
    165,308x = 60,283,998,784
  5. Step 5: Solve for x
    x = 60,283,998,784/165,308
  6. Step 6: Final answer
    x = 364,676.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.