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Finding the Third Proportional to 136,746 and 287,316

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Solution

The third proportional to 136,746 and 287,316 is: 603,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,746 : 287,316 = 287,316 : x
  2. Step 2: Convert to fraction form
    136,746/287,316 = 287,316/x
  3. Step 3: Cross multiply
    136,746x = 287,316 × 287,316
  4. Step 4: Simplify right side
    136,746x = 82,550,483,856
  5. Step 5: Solve for x
    x = 82,550,483,856/136,746
  6. Step 6: Final answer
    x = 603,677.50

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.