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Finding the Third Proportional to 164,484 and 358,715.25

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Solution

The third proportional to 164,484 and 358,715.25 is: 782,304.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,484 : 358,715.25 = 358,715.25 : x
  2. Step 2: Convert to fraction form
    164,484/358,715.25 = 358,715.25/x
  3. Step 3: Cross multiply
    164,484x = 358,715.25 × 358,715.25
  4. Step 4: Simplify right side
    164,484x = 128,676,630,582.56
  5. Step 5: Solve for x
    x = 128,676,630,582.56/164,484
  6. Step 6: Final answer
    x = 782,304.85

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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.