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Finding the Third Proportional to 116,547 and 183,019.50

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Solution

The third proportional to 116,547 and 183,019.50 is: 287,404.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,547 : 183,019.50 = 183,019.50 : x
  2. Step 2: Convert to fraction form
    116,547/183,019.50 = 183,019.50/x
  3. Step 3: Cross multiply
    116,547x = 183,019.50 × 183,019.50
  4. Step 4: Simplify right side
    116,547x = 33,496,137,380.25
  5. Step 5: Solve for x
    x = 33,496,137,380.25/116,547
  6. Step 6: Final answer
    x = 287,404.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.