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Finding the Third Proportional to 145,810.13 and 208,509.19

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Solution

The third proportional to 145,810.13 and 208,509.19 is: 298,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810.13 : 208,509.19 = 208,509.19 : x
  2. Step 2: Convert to fraction form
    145,810.13/208,509.19 = 208,509.19/x
  3. Step 3: Cross multiply
    145,810.13x = 208,509.19 × 208,509.19
  4. Step 4: Simplify right side
    145,810.13x = 43,476,081,271.91
  5. Step 5: Solve for x
    x = 43,476,081,271.91/145,810.13
  6. Step 6: Final answer
    x = 298,169.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.