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Finding the Third Proportional to 195,969 and 286,390.50

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Solution

The third proportional to 195,969 and 286,390.50 is: 418,533.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,969 : 286,390.50 = 286,390.50 : x
  2. Step 2: Convert to fraction form
    195,969/286,390.50 = 286,390.50/x
  3. Step 3: Cross multiply
    195,969x = 286,390.50 × 286,390.50
  4. Step 4: Simplify right side
    195,969x = 82,019,518,490.25
  5. Step 5: Solve for x
    x = 82,019,518,490.25/195,969
  6. Step 6: Final answer
    x = 418,533.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.