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Finding the Third Proportional to 155,590 and 316,886

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Solution

The third proportional to 155,590 and 316,886 is: 645,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,590 : 316,886 = 316,886 : x
  2. Step 2: Convert to fraction form
    155,590/316,886 = 316,886/x
  3. Step 3: Cross multiply
    155,590x = 316,886 × 316,886
  4. Step 4: Simplify right side
    155,590x = 100,416,736,996
  5. Step 5: Solve for x
    x = 100,416,736,996/155,590
  6. Step 6: Final answer
    x = 645,393.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.