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Finding the Third Proportional to 208,140 and 297,426

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Solution

The third proportional to 208,140 and 297,426 is: 425,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,140 : 297,426 = 297,426 : x
  2. Step 2: Convert to fraction form
    208,140/297,426 = 297,426/x
  3. Step 3: Cross multiply
    208,140x = 297,426 × 297,426
  4. Step 4: Simplify right side
    208,140x = 88,462,225,476
  5. Step 5: Solve for x
    x = 88,462,225,476/208,140
  6. Step 6: Final answer
    x = 425,013.09

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.