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Finding the Third Proportional to 156,903.75 and 236,830.50

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Solution

The third proportional to 156,903.75 and 236,830.50 is: 357,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,903.75 : 236,830.50 = 236,830.50 : x
  2. Step 2: Convert to fraction form
    156,903.75/236,830.50 = 236,830.50/x
  3. Step 3: Cross multiply
    156,903.75x = 236,830.50 × 236,830.50
  4. Step 4: Simplify right side
    156,903.75x = 56,088,685,730.25
  5. Step 5: Solve for x
    x = 56,088,685,730.25/156,903.75
  6. Step 6: Final answer
    x = 357,471.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.