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Finding the Third Proportional to 130,185 and 208,381.50

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Solution

The third proportional to 130,185 and 208,381.50 is: 333,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,185 : 208,381.50 = 208,381.50 : x
  2. Step 2: Convert to fraction form
    130,185/208,381.50 = 208,381.50/x
  3. Step 3: Cross multiply
    130,185x = 208,381.50 × 208,381.50
  4. Step 4: Simplify right side
    130,185x = 43,422,849,542.25
  5. Step 5: Solve for x
    x = 43,422,849,542.25/130,185
  6. Step 6: Final answer
    x = 333,547.26

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.