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Finding the Third Proportional to 141,406.50 and 304,953

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Solution

The third proportional to 141,406.50 and 304,953 is: 657,652.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,406.50 : 304,953 = 304,953 : x
  2. Step 2: Convert to fraction form
    141,406.50/304,953 = 304,953/x
  3. Step 3: Cross multiply
    141,406.50x = 304,953 × 304,953
  4. Step 4: Simplify right side
    141,406.50x = 92,996,332,209
  5. Step 5: Solve for x
    x = 92,996,332,209/141,406.50
  6. Step 6: Final answer
    x = 657,652.46

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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.