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Finding the Third Proportional to 164,931.19 and 359,371.69

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Solution

The third proportional to 164,931.19 and 359,371.69 is: 783,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,931.19 : 359,371.69 = 359,371.69 : x
  2. Step 2: Convert to fraction form
    164,931.19/359,371.69 = 359,371.69/x
  3. Step 3: Cross multiply
    164,931.19x = 359,371.69 × 359,371.69
  4. Step 4: Simplify right side
    164,931.19x = 129,148,009,776.60
  5. Step 5: Solve for x
    x = 129,148,009,776.60/164,931.19
  6. Step 6: Final answer
    x = 783,041.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.