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Finding the Third Proportional to 130,792 and 282,316

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Solution

The third proportional to 130,792 and 282,316 is: 609,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,792 : 282,316 = 282,316 : x
  2. Step 2: Convert to fraction form
    130,792/282,316 = 282,316/x
  3. Step 3: Cross multiply
    130,792x = 282,316 × 282,316
  4. Step 4: Simplify right side
    130,792x = 79,702,323,856
  5. Step 5: Solve for x
    x = 79,702,323,856/130,792
  6. Step 6: Final answer
    x = 609,382.25

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.