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Finding the Third Proportional to 161,345.25 and 354,537

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Solution

The third proportional to 161,345.25 and 354,537 is: 779,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,345.25 : 354,537 = 354,537 : x
  2. Step 2: Convert to fraction form
    161,345.25/354,537 = 354,537/x
  3. Step 3: Cross multiply
    161,345.25x = 354,537 × 354,537
  4. Step 4: Simplify right side
    161,345.25x = 125,696,484,369
  5. Step 5: Solve for x
    x = 125,696,484,369/161,345.25
  6. Step 6: Final answer
    x = 779,052.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.