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Finding the Third Proportional to 164,465.44 and 360,341.16

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Solution

The third proportional to 164,465.44 and 360,341.16 is: 789,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,465.44 : 360,341.16 = 360,341.16 : x
  2. Step 2: Convert to fraction form
    164,465.44/360,341.16 = 360,341.16/x
  3. Step 3: Cross multiply
    164,465.44x = 360,341.16 × 360,341.16
  4. Step 4: Simplify right side
    164,465.44x = 129,845,748,887.59
  5. Step 5: Solve for x
    x = 129,845,748,887.59/164,465.44
  6. Step 6: Final answer
    x = 789,501.74

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Why These Related Problems?

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