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Finding the Third Proportional to 176,301 and 370,746

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Solution

The third proportional to 176,301 and 370,746 is: 779,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,301 : 370,746 = 370,746 : x
  2. Step 2: Convert to fraction form
    176,301/370,746 = 370,746/x
  3. Step 3: Cross multiply
    176,301x = 370,746 × 370,746
  4. Step 4: Simplify right side
    176,301x = 137,452,596,516
  5. Step 5: Solve for x
    x = 137,452,596,516/176,301
  6. Step 6: Final answer
    x = 779,647.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.