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Finding the Third Proportional to 189,886.50 and 286,047

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Solution

The third proportional to 189,886.50 and 286,047 is: 430,904.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,886.50 : 286,047 = 286,047 : x
  2. Step 2: Convert to fraction form
    189,886.50/286,047 = 286,047/x
  3. Step 3: Cross multiply
    189,886.50x = 286,047 × 286,047
  4. Step 4: Simplify right side
    189,886.50x = 81,822,886,209
  5. Step 5: Solve for x
    x = 81,822,886,209/189,886.50
  6. Step 6: Final answer
    x = 430,904.18

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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.