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Finding the Third Proportional to 147,461.34 and 322,520.06

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Solution

The third proportional to 147,461.34 and 322,520.06 is: 705,399.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,461.34 : 322,520.06 = 322,520.06 : x
  2. Step 2: Convert to fraction form
    147,461.34/322,520.06 = 322,520.06/x
  3. Step 3: Cross multiply
    147,461.34x = 322,520.06 × 322,520.06
  4. Step 4: Simplify right side
    147,461.34x = 104,019,190,715.00
  5. Step 5: Solve for x
    x = 104,019,190,715.00/147,461.34
  6. Step 6: Final answer
    x = 705,399.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.