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Finding the Third Proportional to 130,652.50 and 286,202

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Solution

The third proportional to 130,652.50 and 286,202 is: 626,942.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,652.50 : 286,202 = 286,202 : x
  2. Step 2: Convert to fraction form
    130,652.50/286,202 = 286,202/x
  3. Step 3: Cross multiply
    130,652.50x = 286,202 × 286,202
  4. Step 4: Simplify right side
    130,652.50x = 81,911,584,804
  5. Step 5: Solve for x
    x = 81,911,584,804/130,652.50
  6. Step 6: Final answer
    x = 626,942.35

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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.