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Finding the Third Proportional to 188,947.13 and 292,547.81

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Solution

The third proportional to 188,947.13 and 292,547.81 is: 452,953.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,947.13 : 292,547.81 = 292,547.81 : x
  2. Step 2: Convert to fraction form
    188,947.13/292,547.81 = 292,547.81/x
  3. Step 3: Cross multiply
    188,947.13x = 292,547.81 × 292,547.81
  4. Step 4: Simplify right side
    188,947.13x = 85,584,222,598.54
  5. Step 5: Solve for x
    x = 85,584,222,598.54/188,947.13
  6. Step 6: Final answer
    x = 452,953.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.