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Finding the Third Proportional to 130,980 and 286,480.50

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Solution

The third proportional to 130,980 and 286,480.50 is: 626,592.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,980 : 286,480.50 = 286,480.50 : x
  2. Step 2: Convert to fraction form
    130,980/286,480.50 = 286,480.50/x
  3. Step 3: Cross multiply
    130,980x = 286,480.50 × 286,480.50
  4. Step 4: Simplify right side
    130,980x = 82,071,076,880.25
  5. Step 5: Solve for x
    x = 82,071,076,880.25/130,980
  6. Step 6: Final answer
    x = 626,592.43

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Why These Related Problems?

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