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Finding the Third Proportional to 157,840 and 346,784

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Solution

The third proportional to 157,840 and 346,784 is: 761,905.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,840 : 346,784 = 346,784 : x
  2. Step 2: Convert to fraction form
    157,840/346,784 = 346,784/x
  3. Step 3: Cross multiply
    157,840x = 346,784 × 346,784
  4. Step 4: Simplify right side
    157,840x = 120,259,142,656
  5. Step 5: Solve for x
    x = 120,259,142,656/157,840
  6. Step 6: Final answer
    x = 761,905.36

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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.