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Finding the Third Proportional to 138,681 and 304,411.50

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Solution

The third proportional to 138,681 and 304,411.50 is: 668,197.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,681 : 304,411.50 = 304,411.50 : x
  2. Step 2: Convert to fraction form
    138,681/304,411.50 = 304,411.50/x
  3. Step 3: Cross multiply
    138,681x = 304,411.50 × 304,411.50
  4. Step 4: Simplify right side
    138,681x = 92,666,361,332.25
  5. Step 5: Solve for x
    x = 92,666,361,332.25/138,681
  6. Step 6: Final answer
    x = 668,197.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.