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Finding the Third Proportional to 162,774.56 and 357,064.88

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Solution

The third proportional to 162,774.56 and 357,064.88 is: 783,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,774.56 : 357,064.88 = 357,064.88 : x
  2. Step 2: Convert to fraction form
    162,774.56/357,064.88 = 357,064.88/x
  3. Step 3: Cross multiply
    162,774.56x = 357,064.88 × 357,064.88
  4. Step 4: Simplify right side
    162,774.56x = 127,495,324,958.77
  5. Step 5: Solve for x
    x = 127,495,324,958.77/162,774.56
  6. Step 6: Final answer
    x = 783,263.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.