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Finding the Third Proportional to 130,506.19 and 286,223.63

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Solution

The third proportional to 130,506.19 and 286,223.63 is: 627,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,506.19 : 286,223.63 = 286,223.63 : x
  2. Step 2: Convert to fraction form
    130,506.19/286,223.63 = 286,223.63/x
  3. Step 3: Cross multiply
    130,506.19x = 286,223.63 × 286,223.63
  4. Step 4: Simplify right side
    130,506.19x = 81,923,963,508.14
  5. Step 5: Solve for x
    x = 81,923,963,508.14/130,506.19
  6. Step 6: Final answer
    x = 627,740.07

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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.