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Finding the Third Proportional to 156,030.50 and 368,205

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Solution

The third proportional to 156,030.50 and 368,205 is: 868,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,030.50 : 368,205 = 368,205 : x
  2. Step 2: Convert to fraction form
    156,030.50/368,205 = 368,205/x
  3. Step 3: Cross multiply
    156,030.50x = 368,205 × 368,205
  4. Step 4: Simplify right side
    156,030.50x = 135,574,922,025
  5. Step 5: Solve for x
    x = 135,574,922,025/156,030.50
  6. Step 6: Final answer
    x = 868,900.13

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.