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Finding the Third Proportional to 186,386 and 291,573

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Solution

The third proportional to 186,386 and 291,573 is: 456,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,386 : 291,573 = 291,573 : x
  2. Step 2: Convert to fraction form
    186,386/291,573 = 291,573/x
  3. Step 3: Cross multiply
    186,386x = 291,573 × 291,573
  4. Step 4: Simplify right side
    186,386x = 85,014,814,329
  5. Step 5: Solve for x
    x = 85,014,814,329/186,386
  6. Step 6: Final answer
    x = 456,122.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.