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Finding the Third Proportional to 168,053 and 260,342

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Solution

The third proportional to 168,053 and 260,342 is: 403,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,053 : 260,342 = 260,342 : x
  2. Step 2: Convert to fraction form
    168,053/260,342 = 260,342/x
  3. Step 3: Cross multiply
    168,053x = 260,342 × 260,342
  4. Step 4: Simplify right side
    168,053x = 67,777,956,964
  5. Step 5: Solve for x
    x = 67,777,956,964/168,053
  6. Step 6: Final answer
    x = 403,312.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.