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Finding the Third Proportional to 164,582 and 245,797

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Solution

The third proportional to 164,582 and 245,797 is: 367,088.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,582 : 245,797 = 245,797 : x
  2. Step 2: Convert to fraction form
    164,582/245,797 = 245,797/x
  3. Step 3: Cross multiply
    164,582x = 245,797 × 245,797
  4. Step 4: Simplify right side
    164,582x = 60,416,165,209
  5. Step 5: Solve for x
    x = 60,416,165,209/164,582
  6. Step 6: Final answer
    x = 367,088.53

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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.