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Finding the Third Proportional to 134,271 and 296,483.63

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Solution

The third proportional to 134,271 and 296,483.63 is: 654,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,271 : 296,483.63 = 296,483.63 : x
  2. Step 2: Convert to fraction form
    134,271/296,483.63 = 296,483.63/x
  3. Step 3: Cross multiply
    134,271x = 296,483.63 × 296,483.63
  4. Step 4: Simplify right side
    134,271x = 87,902,539,893.14
  5. Step 5: Solve for x
    x = 87,902,539,893.14/134,271
  6. Step 6: Final answer
    x = 654,665.12

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.