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Finding the Third Proportional to 130,473 and 202,023

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Solution

The third proportional to 130,473 and 202,023 is: 312,810.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,473 : 202,023 = 202,023 : x
  2. Step 2: Convert to fraction form
    130,473/202,023 = 202,023/x
  3. Step 3: Cross multiply
    130,473x = 202,023 × 202,023
  4. Step 4: Simplify right side
    130,473x = 40,813,292,529
  5. Step 5: Solve for x
    x = 40,813,292,529/130,473
  6. Step 6: Final answer
    x = 312,810.26

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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.