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Finding the Third Proportional to 164,628 and 249,237

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Solution

The third proportional to 164,628 and 249,237 is: 377,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,628 : 249,237 = 249,237 : x
  2. Step 2: Convert to fraction form
    164,628/249,237 = 249,237/x
  3. Step 3: Cross multiply
    164,628x = 249,237 × 249,237
  4. Step 4: Simplify right side
    164,628x = 62,119,082,169
  5. Step 5: Solve for x
    x = 62,119,082,169/164,628
  6. Step 6: Final answer
    x = 377,329.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.