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Finding the Third Proportional to 181,618 and 358,598

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Solution

The third proportional to 181,618 and 358,598 is: 708,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,618 : 358,598 = 358,598 : x
  2. Step 2: Convert to fraction form
    181,618/358,598 = 358,598/x
  3. Step 3: Cross multiply
    181,618x = 358,598 × 358,598
  4. Step 4: Simplify right side
    181,618x = 128,592,525,604
  5. Step 5: Solve for x
    x = 128,592,525,604/181,618
  6. Step 6: Final answer
    x = 708,038.44

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.