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Finding the Third Proportional to 129,618 and 284,152.50

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Solution

The third proportional to 129,618 and 284,152.50 is: 622,927.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,618 : 284,152.50 = 284,152.50 : x
  2. Step 2: Convert to fraction form
    129,618/284,152.50 = 284,152.50/x
  3. Step 3: Cross multiply
    129,618x = 284,152.50 × 284,152.50
  4. Step 4: Simplify right side
    129,618x = 80,742,643,256.25
  5. Step 5: Solve for x
    x = 80,742,643,256.25/129,618
  6. Step 6: Final answer
    x = 622,927.70

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.