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Finding the Third Proportional to 243,774 and 358,606

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Solution

The third proportional to 243,774 and 358,606 is: 527,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,774 : 358,606 = 358,606 : x
  2. Step 2: Convert to fraction form
    243,774/358,606 = 358,606/x
  3. Step 3: Cross multiply
    243,774x = 358,606 × 358,606
  4. Step 4: Simplify right side
    243,774x = 128,598,263,236
  5. Step 5: Solve for x
    x = 128,598,263,236/243,774
  6. Step 6: Final answer
    x = 527,530.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.