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Finding the Third Proportional to 186,748 and 409,776

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Solution

The third proportional to 186,748 and 409,776 is: 899,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,748 : 409,776 = 409,776 : x
  2. Step 2: Convert to fraction form
    186,748/409,776 = 409,776/x
  3. Step 3: Cross multiply
    186,748x = 409,776 × 409,776
  4. Step 4: Simplify right side
    186,748x = 167,916,370,176
  5. Step 5: Solve for x
    x = 167,916,370,176/186,748
  6. Step 6: Final answer
    x = 899,160.21

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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.