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Finding the Third Proportional to 131,310 and 286,384.50

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Solution

The third proportional to 131,310 and 286,384.50 is: 624,598.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,310 : 286,384.50 = 286,384.50 : x
  2. Step 2: Convert to fraction form
    131,310/286,384.50 = 286,384.50/x
  3. Step 3: Cross multiply
    131,310x = 286,384.50 × 286,384.50
  4. Step 4: Simplify right side
    131,310x = 82,016,081,840.25
  5. Step 5: Solve for x
    x = 82,016,081,840.25/131,310
  6. Step 6: Final answer
    x = 624,598.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.