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Finding the Third Proportional to 164,490 and 358,727

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Solution

The third proportional to 164,490 and 358,727 is: 782,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,490 : 358,727 = 358,727 : x
  2. Step 2: Convert to fraction form
    164,490/358,727 = 358,727/x
  3. Step 3: Cross multiply
    164,490x = 358,727 × 358,727
  4. Step 4: Simplify right side
    164,490x = 128,685,060,529
  5. Step 5: Solve for x
    x = 128,685,060,529/164,490
  6. Step 6: Final answer
    x = 782,327.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.