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Finding the Third Proportional to 199,301.63 and 425,210.63

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Solution

The third proportional to 199,301.63 and 425,210.63 is: 907,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,301.63 : 425,210.63 = 425,210.63 : x
  2. Step 2: Convert to fraction form
    199,301.63/425,210.63 = 425,210.63/x
  3. Step 3: Cross multiply
    199,301.63x = 425,210.63 × 425,210.63
  4. Step 4: Simplify right side
    199,301.63x = 180,804,075,612.89
  5. Step 5: Solve for x
    x = 180,804,075,612.89/199,301.63
  6. Step 6: Final answer
    x = 907,188.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.