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Finding the Third Proportional to 162,870 and 358,428

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Solution

The third proportional to 162,870 and 358,428 is: 788,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,870 : 358,428 = 358,428 : x
  2. Step 2: Convert to fraction form
    162,870/358,428 = 358,428/x
  3. Step 3: Cross multiply
    162,870x = 358,428 × 358,428
  4. Step 4: Simplify right side
    162,870x = 128,470,631,184
  5. Step 5: Solve for x
    x = 128,470,631,184/162,870
  6. Step 6: Final answer
    x = 788,792.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.