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Finding the Third Proportional to 243,146.50 and 390,667.50

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Solution

The third proportional to 243,146.50 and 390,667.50 is: 627,691.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,146.50 : 390,667.50 = 390,667.50 : x
  2. Step 2: Convert to fraction form
    243,146.50/390,667.50 = 390,667.50/x
  3. Step 3: Cross multiply
    243,146.50x = 390,667.50 × 390,667.50
  4. Step 4: Simplify right side
    243,146.50x = 152,621,095,556.25
  5. Step 5: Solve for x
    x = 152,621,095,556.25/243,146.50
  6. Step 6: Final answer
    x = 627,691.93

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.