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Finding the Third Proportional to 160,417.13 and 348,545.81

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Solution

The third proportional to 160,417.13 and 348,545.81 is: 757,301.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,417.13 : 348,545.81 = 348,545.81 : x
  2. Step 2: Convert to fraction form
    160,417.13/348,545.81 = 348,545.81/x
  3. Step 3: Cross multiply
    160,417.13x = 348,545.81 × 348,545.81
  4. Step 4: Simplify right side
    160,417.13x = 121,484,183,411.29
  5. Step 5: Solve for x
    x = 121,484,183,411.29/160,417.13
  6. Step 6: Final answer
    x = 757,301.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.