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Finding the Third Proportional to 185,148 and 403,746

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Solution

The third proportional to 185,148 and 403,746 is: 880,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,148 : 403,746 = 403,746 : x
  2. Step 2: Convert to fraction form
    185,148/403,746 = 403,746/x
  3. Step 3: Cross multiply
    185,148x = 403,746 × 403,746
  4. Step 4: Simplify right side
    185,148x = 163,010,832,516
  5. Step 5: Solve for x
    x = 163,010,832,516/185,148
  6. Step 6: Final answer
    x = 880,435.29

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Why These Related Problems?

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