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Finding the Third Proportional to 130,685.98 and 203,482.90

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Solution

The third proportional to 130,685.98 and 203,482.90 is: 316,830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,685.98 : 203,482.90 = 203,482.90 : x
  2. Step 2: Convert to fraction form
    130,685.98/203,482.90 = 203,482.90/x
  3. Step 3: Cross multiply
    130,685.98x = 203,482.90 × 203,482.90
  4. Step 4: Simplify right side
    130,685.98x = 41,405,289,956.53
  5. Step 5: Solve for x
    x = 41,405,289,956.53/130,685.98
  6. Step 6: Final answer
    x = 316,830.40

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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.