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Finding the Third Proportional to 130,809.94 and 282,533.06

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Solution

The third proportional to 130,809.94 and 282,533.06 is: 610,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,809.94 : 282,533.06 = 282,533.06 : x
  2. Step 2: Convert to fraction form
    130,809.94/282,533.06 = 282,533.06/x
  3. Step 3: Cross multiply
    130,809.94x = 282,533.06 × 282,533.06
  4. Step 4: Simplify right side
    130,809.94x = 79,824,931,405.63
  5. Step 5: Solve for x
    x = 79,824,931,405.63/130,809.94
  6. Step 6: Final answer
    x = 610,235.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.