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Finding the Third Proportional to 141,414 and 304,966.50

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Solution

The third proportional to 141,414 and 304,966.50 is: 657,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,414 : 304,966.50 = 304,966.50 : x
  2. Step 2: Convert to fraction form
    141,414/304,966.50 = 304,966.50/x
  3. Step 3: Cross multiply
    141,414x = 304,966.50 × 304,966.50
  4. Step 4: Simplify right side
    141,414x = 93,004,566,122.25
  5. Step 5: Solve for x
    x = 93,004,566,122.25/141,414
  6. Step 6: Final answer
    x = 657,675.80

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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.