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Finding the Third Proportional to 175,061 and 249,971

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Solution

The third proportional to 175,061 and 249,971 is: 356,935.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,061 : 249,971 = 249,971 : x
  2. Step 2: Convert to fraction form
    175,061/249,971 = 249,971/x
  3. Step 3: Cross multiply
    175,061x = 249,971 × 249,971
  4. Step 4: Simplify right side
    175,061x = 62,485,500,841
  5. Step 5: Solve for x
    x = 62,485,500,841/175,061
  6. Step 6: Final answer
    x = 356,935.59

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