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Finding the Third Proportional to 199,143 and 429,979.50

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Solution

The third proportional to 199,143 and 429,979.50 is: 928,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,143 : 429,979.50 = 429,979.50 : x
  2. Step 2: Convert to fraction form
    199,143/429,979.50 = 429,979.50/x
  3. Step 3: Cross multiply
    199,143x = 429,979.50 × 429,979.50
  4. Step 4: Simplify right side
    199,143x = 184,882,370,420.25
  5. Step 5: Solve for x
    x = 184,882,370,420.25/199,143
  6. Step 6: Final answer
    x = 928,390.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.