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Finding the Third Proportional to 216,276 and 289,300.50

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Solution

The third proportional to 216,276 and 289,300.50 is: 386,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,276 : 289,300.50 = 289,300.50 : x
  2. Step 2: Convert to fraction form
    216,276/289,300.50 = 289,300.50/x
  3. Step 3: Cross multiply
    216,276x = 289,300.50 × 289,300.50
  4. Step 4: Simplify right side
    216,276x = 83,694,779,300.25
  5. Step 5: Solve for x
    x = 83,694,779,300.25/216,276
  6. Step 6: Final answer
    x = 386,981.35

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.