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Finding the Third Proportional to 130,948.88 and 286,501.50

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Solution

The third proportional to 130,948.88 and 286,501.50 is: 626,833.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,948.88 : 286,501.50 = 286,501.50 : x
  2. Step 2: Convert to fraction form
    130,948.88/286,501.50 = 286,501.50/x
  3. Step 3: Cross multiply
    130,948.88x = 286,501.50 × 286,501.50
  4. Step 4: Simplify right side
    130,948.88x = 82,083,109,502.25
  5. Step 5: Solve for x
    x = 82,083,109,502.25/130,948.88
  6. Step 6: Final answer
    x = 626,833.25

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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.