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Finding the Third Proportional to 130,446 and 207,501.75

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Solution

The third proportional to 130,446 and 207,501.75 is: 330,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,446 : 207,501.75 = 207,501.75 : x
  2. Step 2: Convert to fraction form
    130,446/207,501.75 = 207,501.75/x
  3. Step 3: Cross multiply
    130,446x = 207,501.75 × 207,501.75
  4. Step 4: Simplify right side
    130,446x = 43,056,976,253.06
  5. Step 5: Solve for x
    x = 43,056,976,253.06/130,446
  6. Step 6: Final answer
    x = 330,075.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.