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Finding the Third Proportional to 130,176 and 282,060

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Solution

The third proportional to 130,176 and 282,060 is: 611,156.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,176 : 282,060 = 282,060 : x
  2. Step 2: Convert to fraction form
    130,176/282,060 = 282,060/x
  3. Step 3: Cross multiply
    130,176x = 282,060 × 282,060
  4. Step 4: Simplify right side
    130,176x = 79,557,843,600
  5. Step 5: Solve for x
    x = 79,557,843,600/130,176
  6. Step 6: Final answer
    x = 611,156.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.