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Finding the Third Proportional to 187,501 and 410,618

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Solution

The third proportional to 187,501 and 410,618 is: 899,233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,501 : 410,618 = 410,618 : x
  2. Step 2: Convert to fraction form
    187,501/410,618 = 410,618/x
  3. Step 3: Cross multiply
    187,501x = 410,618 × 410,618
  4. Step 4: Simplify right side
    187,501x = 168,607,141,924
  5. Step 5: Solve for x
    x = 168,607,141,924/187,501
  6. Step 6: Final answer
    x = 899,233.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.